Questions tagged [word-problem]

A word problem is an exercise with its main challenge being in translation from words to mathematical concepts and language including symbols and formulas. This tag is not about the unrelated topic in group theory.

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Optimization word problem involving perimeter and area of an arched window

I'm working through an optimization problem in my textbook about maximizing the area of a rectangular window with an arched top. My question is concerns how to think about a certian variable. I'm torn ...
El Jfe's user avatar
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-4 votes
0 answers
14 views

Statistics standard deviation problem [closed]

Thirty-five rose bushes are available from a nursery containing 16 red bushes, 11 yellow bushes, and 8 white bushes. What is the standard deviation (give-or-take) number of white bushes selected in a ...
Aaron Churchill's user avatar
1 vote
1 answer
70 views
+50

How do I go "backwards" with error propagation?

Hopefully this is appropriate for Math SE given that, ultimately, this questions stems from a math textbook (Zorich's Mathematical Analysis). Zorich has shown using simple arguments with absolute ...
EE18's user avatar
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1 vote
2 answers
104 views

How many times is the light bulb turned on?

A light bulb is automatically turned off for 21 secs. Next, it lights up automatically for 15 secs. Once again, it is automatically turned off for the following 21 secs. The process keeps repeating. ...
x89's user avatar
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3 votes
3 answers
122 views

Using one variable vs two variables

I'm in the process of of again learning algebra 1. But I ran across this problem the other day. The sum of two numbers is $10$ and the sum of their reciprocals is $5/12$. Find the numbers. ...
Jacob Barrientos's user avatar
2 votes
1 answer
50 views

Application of Differential Equations Logistics problem

Problem: The rate of change of the total number of sales, $dS(t)\over dt$, of a new product is proportional to $ S(t)\over t^2$, where $t$ is in years. If the saturation of the market is $50000$ units,...
TANK1_41's user avatar
0 votes
1 answer
114 views

If the cost of $2$ pens is Rs. $10$ , then find the cost of $20$ pens.

Q)If the cost of $2$ pens is Rs. $10$ , then find the cost of $20$ pens. Ans) I know how to find the cost of $20$ pens in these types of questions. Just we need to use the unitary method to find the ...
Dropper's user avatar
  • 31
1 vote
1 answer
136 views

Two grasshoppers jump in opposite directions - find effective solution?

I took a test in number theory and modular arithmetic today, and one of the questions looked like this: Two grasshoppers A and B hop in a circle that is divided into 81 squares. The squares are ...
naytte2's user avatar
  • 379
5 votes
2 answers
491 views

How can we solve the system with 6 variables? [closed]

I'm doing some GMAT exercises and this question came up to me. Unfortunately, I cannot figure out the final result. Mike and Jenny are buying fruits. Mike bought total 11 oranges and apples, which ...
Anh Lâm's user avatar
0 votes
0 answers
41 views

How to formulate this transportation problem?

I have been trying to formulate this as a transportation problem but I can't seem to do so: We have $3$ types of projects and $3$ types of evaluators. We need to evaluate $61,40$ and $21$ projects of ...
Pedro García's user avatar
0 votes
1 answer
24 views

A simple compound interest problem

Here is a simple interest word problem that I apparently got it wrong. The problem is this: Isabel borrowed $8000$ dollars from a bank. If the interest is compounded $15$ percent monthly. How much ...
Napoleon Bonaparte's user avatar
1 vote
1 answer
70 views

Combinatorial Probability Question Similar to Sheldon Ross's A First Course in Probability 10th ed Chapter 2 Problem 7

I wrote a combinatorial probability question, and I am not sure if my solution is correct. It is just a slight rewording of a problem from Sheldon Ross's A First Course in Probability 10th ed. Chapter ...
Karl Chester Galapon's user avatar
13 votes
2 answers
611 views

Probability - Interview Question - Hidden Assumptions and Phrasing Issues

I’ve encountered the following seemingly simple probability interview question in my workplace: Two reviewers were tasked with finding errors in a book. The first had found 40 errors and the other ...
Yonatan Harari's user avatar
2 votes
2 answers
119 views

Converting (liters/10km) and (km/h) into liters/hour

Assume we have some velocity data given in km/h: $$ \mathrm{velocity} = [10, 25, 40, 55, 70, 90, 105, 120] $$ and the corresponding fuel consumption given in liters/10km: $$ \mathrm{fuel} = [2.2, 1.5, ...
TilManG4's user avatar
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1 answer
47 views

How to algebraically calculate the difference in days for an inverse-proportion or more people=worse problem?

During a drought, 50 people have only $1000 \mathrm{~L}$ of water left. If every person consumes an identical amount of water, the 1000-liter supply would be exhausted in one day. If 40 people were to ...
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1 vote
0 answers
61 views

Time it takes for one train to pass by the front of another

Two trains are travelling on parallel tracks, one towards the other. The speed of each is $20m/s$. Train number one is $100m$ long and train number $2$ is $200m$ long. They meet and pass each other. ...
Plamen Bajsić's user avatar
0 votes
1 answer
74 views

Splitting restaurant bill [closed]

Whenever I eat at a restaurant the bill gets handed to me as I work in finance! I've gotten myself confused with how to work out the bill, so just would like to understand this for future. So, the ...
Kate123's user avatar
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3 votes
2 answers
4k views

Two logicians who each pick a number secretly between 1 and 30

Recently a logic question has become quite popular. Here it is: Two logicians (A and B) each secretly pick a whole number from 1 to 30 inclusive. Each knows the other has done this. A: "Is your ...
DarkUmbreon227's user avatar
0 votes
1 answer
18 views

Total conversions vs individual feature conversion

I have a new website and an old website with 5 features. All features have been updated in the new website. The old checkout page has a 10% conversion rate. The new checkout page has a 9% conversion ...
Rezzy's user avatar
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3 votes
2 answers
94 views

The number of people in an audthorium is between 80 and 100, knowimg that the number of men is 7/8 the number of women, what is the number of people?

I would like some help solving that problem. My approach: I've shown that x is between 128/3 and 160/3 but that didn't help me and now I'm stuck. Thanks in advance
Pritchard's user avatar
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1 answer
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Find a special number [closed]

Let's suppose there is a 2 digit number with both digits not the same and we reverse its digits order and then subtract from the original number and taking the absolute value of the difference ...
user avatar
-1 votes
1 answer
211 views

absolute value inequalities word problems,, which sign to use

I have the below absolute value inequalities word problem, I was able to get the answer but had to solve it by trying both <= and >= and then working out which one was correct. But the videos I ...
Paritosh's user avatar
  • 101
0 votes
1 answer
33 views

Parametric equations for a point traversing the circumference of a laterally accelerating circle (not rolling) with a max speed for the point.

Variables: e -> point on a circle r -> radius of said circle (constant) x(t), y(t) -> parametric equations describing the position of point e v -> velocity of the center of the circle c -&...
Brendan O'Sullivan's user avatar
1 vote
1 answer
52 views

How do I find the focal distance?

I’ll first put the question as it is on the assignment and then ask my question. The following describes certain characteristics of a parabolic radio telescope that an astronomical observatory would ...
Shakir's user avatar
  • 13
1 vote
0 answers
89 views

Puzzle based on venn diagrams

In January 2023, some boys and 20 girls joined ABC Ltd which trains students for GRE, GMAT, CAT. Some of these students were not planning to take the exams in 2023. Among them 10 were working ...
Vasu Gupta's user avatar
1 vote
1 answer
69 views

The sum of two consecutive even integers is 404. Find the double of the first.

This exercise is giving me trouble. Could you please help me? "The sum of two consecutive even integers is 404. Find the double of the first." let be the first even number $x$ the secound $x+...
bdvg2302's user avatar
  • 1,149
0 votes
1 answer
40 views

How to solve this problem by making a table where vertically you have the multiples of 3, horizontally, you have the multiples of 4 and five, eliminat

How to solve this problem by making a table where vertically you have the multiples of $3$, horizontally, you have the multiples of $4$ and five, then you cross out any sum of the $3m+4n$ or $3m+5k$ ...
user avatar
-1 votes
1 answer
28 views

Distance Halfway Around Track Between Inner and Outer Edges

Here is a problem from an old Algebra book that has me a little stumped. I am not clear exactly what they are asking for or how to solve it. (Problem 60.) Show that T (the area of the Track) is the ...
Anthony Gatlin's user avatar
2 votes
1 answer
178 views

A Simpsons Riddle [closed]

This riddle (from Amann and Escher) has been bothering me more than it should. What is going on here? I'm not sure I see how to translate this into the sort of propositional logic I can manipulate via ...
EE18's user avatar
  • 1,189
1 vote
2 answers
90 views

Finding a number that reduces an alarm percentage below its threshold.

I may be in the wrong place, but I have a consistent problem that I need a formula for, I can't even figure out what it's called. (AI could not help me.) It's nested in a computer issue, but I am ...
LeviRCoding's user avatar
0 votes
0 answers
20 views

Calculating Rate of Change and using differentials to project 3 years from now

Currently, BC is helping $R=5,000$ refugees. The number of refugees that BC must help is rising at a rate of $\frac{dR}{dt}=1,000$ refugees per year. Currently, the number of staff members is $N=100$ ...
user20194358's user avatar
0 votes
1 answer
241 views

Counting Paths for Forming the Word BANANA in a 3 x3 Grid: How Many Ways?

Hi. This is a Kangaroo 2023 Question. In how many different ways can the word BANANA be read from the following table by moving from one cell to another cell with which it shares an edge? Cells may be ...
Gabriel Delgado's user avatar
0 votes
1 answer
23 views

Are these four deductions sufficient to find the lowest score that could have been scored by more than one student or exactly one student or more need

What other deductions are possible? In a class of n students, a test was administered and only scored on whole numbers from 0-10 if every possible score was scored at least once, the average score ...
user avatar
0 votes
1 answer
116 views

If you need 3:2:1 ratio of X,Y,Z to make a something, doesn't that mean you need 6 units:4 units:2 units to make two units of that thing?

Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to make salad dressing. If Larry has 8 cups of oil, 7 cups of vinegar, and access to any amount of water, what is the maximum number of cups of ...
user avatar
1 vote
1 answer
105 views

Determining if a given graph is a Word Graph

I started to read the book "A First Course in Graph Theory" to refresh some concepts about Graphs. In the first chapter, the author gives a definition of a word graph (something I didn't ...
James's user avatar
  • 121
0 votes
1 answer
54 views

Why does 1950/20 approximately equals 100 implies A and B are eliminated first?

Rachel needs to type up her 1950-word paper by its 5 pm deadline. If she starts at least two hours in advance, her typing speed will be a constant 20 words per minute, but for every two minutes beyond ...
user avatar
0 votes
0 answers
16 views

Did I do this estimation correctly?

I was looking online for cars with APR rates just to see if I can find the monthly and yearly interest. Just to practice what I know, and I want to see if I did this correctly. 2023 Chevrolet Camaro ...
alchemist777's user avatar
2 votes
0 answers
110 views

A ladybug is moving with velocity vector $v$. At what rate is the sum of her distances from two points decreasing at a certain moment?

Problem: At a certain moment, a ladybug is at position $x_0$ and moving with velocity vector $v$. At the moment, the angle $<ax_0b = \pi/2$, her velocity bisects the angle, and her speed is $5$ ...
Ghanem's user avatar
  • 23
-1 votes
2 answers
95 views

Algebra word problem solving

In an island, which had a total population of 55009, a war was fought between ‘Benos’ and ‘Malos’ the only tribes residing in the island. During the war every ‘Benos’ fought with a different number of ...
Vasu Gupta's user avatar
4 votes
5 answers
181 views

Sequence of integers without 3-terms AP in it.

In a school there are $2023$ students, numbered $1$ to $2023$. The teacher met the students one by one in the order of their numbers, and gave a candy to each student except if that would mean three ...
teeeshj dabest's user avatar
1 vote
1 answer
54 views

Help with translating this wordproblem into mathematical terms or equations and finding a general solution.

I've been trying to solve this problem for the last couple days but with no luck. I'm not even sure how I would translate the information into mathematical terms or equations. All help appreciated! ...
R.F.P's user avatar
  • 21
6 votes
1 answer
168 views

Pages and book problem - Tearing of a page from book

There are a certain number of pages in a book. Bob tore a certain page out of the book and later found that the average of the remaining page numbers is $46 \frac{10}{13}$. What were the page numbers ...
Vasu Gupta's user avatar
0 votes
0 answers
54 views

The difference between 15 and the number multiplied by 2.

For the following question, can both answers be considered as correct? Is the question ambiguous? Write a linear equation for : When a certain number is added to 3 the result is the difference ...
learning maths's user avatar
2 votes
1 answer
50 views

Finding the water elevation speed

A cone (narrow part facing down) is used to contain and transfer a volume of water. The cone has height $10 m$ and diameter $10 m$. Initially the cone contains water that takes height up to $8 m$. At ...
Redsbefall's user avatar
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0 votes
1 answer
71 views

Profit/loss word problem.

Problem statement A dishonest shopkeeper uses a false weight of 900gm instead of 1kg, if he promises to sell his goods at cost price, what is his overall profit? I approached this problem like this, ...
Max's user avatar
  • 485
0 votes
2 answers
62 views

Two men run at $5$km/hr and $3$km/hr around a $6$km circular track. After how much time will they meet?

I am working on this problem. Two men, A and B run in the same direction around a circular track, starting at the same time from the same point. The speed of A is 5 km/hr and that of B is 3 km/hr. If ...
Max's user avatar
  • 485
0 votes
1 answer
55 views

Find the time taken to mow the circular meadow

There was a circular meadow with diameter 160 m. A labourer wanted to mow the grass of the meadow with a mower of width 20 m and working with a speed of 113.3 km/hr. In how many seconds did he finish ...
Fin27's user avatar
  • 948
0 votes
0 answers
46 views

Expressing a Chinese Remainder Theorem problem as a system of congruences

I was hoping someone could help me express this problem as a system of congruences: 3 trucks carrying deliveries for the same destination leave the warehouse at 5pm. Each truck travels between 5am and ...
Alexandre Ramos's user avatar
3 votes
1 answer
122 views

How long before someone is ahead by 10 in a game of flipping a coin?

If me and a friend are playing a game and start with 10 marbles each. We flip a coin each round and each time it's a head he gives me a marble and each time it's tails I give him one. How many coin ...
Tom's user avatar
  • 301
0 votes
1 answer
47 views

Normal Distribution: Which side of the mean?

A random variable $X$ represents the number of hours of use until an electronic component needs to be replaced. $X$ is normally distributed with a mean of $27500$ hours and a standard deviation of $...
Omar Zayed's user avatar

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