# Questions tagged [ratio]

For questions concerning the ratio of a certain quantity to another.

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### Mixtures and Replacement

How to approach this question? Let's say we have 40 l of water. Operation 1) 4 l water take out and 4 l juice replaced Operation-2)5 l water taken out and 5 l juice replaced and so on what would be ...
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### Ratio known and Amount needed known

You have a a recipe for the perfect orange juice, it is: 26 parts Water to 1 Part Orange Juice (26:1). However overall you only want 20ml of mixed liquid (orange juice and water combined). What ...
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### Ratio and Mensuration of Figures

Is there any quick solution to the problem? Thanks.
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### What is the probability of an item in a list being chosen if both the list and item have different probabilities?

This is kind of a programming question, but more so a mathematical question. I have two lists that contain various items inside of the lists. Each List has a rate of being chosen, then each item in ...
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### What function describes the frequency for each unique ratio for all possible expansions n over d where n<d?

I am hoping to solve the following problem for a scientific investigation, which relies on the probabilites of all possible expansions. What function $f(r)$ describes the frequency for each ratio for ...
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### Solve it using ration [closed]

Box contains 12 items divided in pens and pencils and it costs $20$. If the quantity of pens and pencils are interchanged, the price of the box reduce to $16$. If price per pen is $2$, Find the number ...
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### what percent of $.72$ quintal is $2.5 kg$?

what percent of $0.72$ quintal is $2.5 kg$? I am a 8 years old boy from INDIA. Please help me. how do I start have no idea. Tomorrow is my exam please help me.
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### Ratio & Proportion Problem

$\frac{Px}{(b-c)} = \frac{Qy}{(c-a)} = \frac{Rz}{(a-b)}$ Find the value of $(P*a*x) + (Q*b*y) + (R*c*z)$ This question is a problem of my Class VII textbook and no solved examples of the type are ...
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### Ratio of two beta random variables

I'm working on a problem for an hour and I wanted to get some hints. Suppose: $y_1, y_2, y_3, y_4 \sim Dir(\alpha_1, \alpha_2, \alpha_3, \alpha_4)$ what is the distribution of $\frac{y_1}{y_1 + y_2}$...
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### Ratio and percentage related

The ration of boys to girls in a school is 7:6. If the number of boys and girls in the school increases by 10% and 15% respectively in one year, the number of boys will exceed the number of girls by ...
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### need some help with a power series convergence test problem

Find the interval of convergence for the given power series: $$\sum\limits_{n=1}^\infty \frac{(x - 1)^n }{n(-4)^n}$$ First I applied the generalized ratio test, came out with $\frac{(1-x)}{4}$ ...
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### Finding the length of a train confusion

Erica noted that a train to Muizenberg took $8$ minutes to pass her. A train in the opposite direction to Cape Town took $12$ minutes to pass her. The trains took $9$ minutes to pass each other. ...
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### Eight inches of heavy, wet snow are equivalent to four inches of rain. Estimate the water content in 17 inches of heavy, wet snow.

Eight inches of heavy, wet snow are equivalent to four inches of rain. Estimate the water content in 17 inches of heavy, wet snow. Ok I get 8.4 as the answer for this problem but by calculator I get ...
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Can someone help me understand how this: $$\frac{f_1(x)}{f_0(x)}=\frac{\frac{1}{\sqrt{2\pi\sigma^2}}\exp\left(-\frac{1}{2}\sum_{i=1}^n(x_i-1)^2\right)}{\frac{1}{\sqrt{2\pi\sigma^2}}\exp\left(-\frac{1}... 3answers 127 views ### If \frac{a}{b}=\frac{x}{y}, is \frac{x-a}{y-b}=\frac{x}{y}? [closed] Does this hold? b,y \neq 0, b \neq y. 1answer 2k views ### Numerical Reasoning EPSO Ratio Question I would appreciate if anyone can please guide me on the workings to this question from the EPSO site. In 2000, what was the ratio of GDP in the Netherlands to that in Finland? Possible Answers: ... 1answer 56 views ### Mathematical question about currencies I've tried to get an answer for this question elsewhere but with no luck, so I would appreciate a mathematical analysis of it. Assume 0\% commission. Consider three currencies, let's say the Zong, ... 3answers 91 views ### How the red circle marked equations came ? Yesterday I started to learn algebra with my own. And the first chapter which I'm learning is Ratio . I'm not getting the red circle marked lines in the below image. I tried to understand it but didn'... 1answer 79 views ### How does this line came? :) Today I started to learn algebra with my own. And the first chapter which I'm learning is Ratio. I'm kind of confuse in an example, in all the lines starting with (*). Until first three lines of ... 1answer 191 views ### Work Out Height Based on Width and Ratio I'm trying to work out the height of an image. I have this data available to me: width: 320 ratio: 0.66 Is it possible to work out the height based off the data ... 1answer 392 views ### interpreting ratio of two probabilities or should I use a transformation first? If two 5-year survival probabilities are p1=.55 and p2=.41 the ratio is .55/.41 = 1.34 but since probabilities are in [0, 1] should I take the log first? Which is the more appropriate way to ... 1answer 80 views ### Ratio expectation with dominating denominator Let Y be a RV taking values in [0,+\infty), and let X be a RV taking values in [1, +\infty), such that X \ge Y. Do we have following inequality?  E[Y/X]≥E[Y]/E[X]  This question is ... 1answer 34 views ### Simplifying the equation. I have this equation$$\frac{\left(\frac{x}{a}\right)}{a^n} = \frac{\left(\frac{y}{b}\right)}{b^n} = \frac{\left(\frac{x}{a}+\frac{y}{b}\right)}{a^n + b^n}$$Just wanted to know how the first two ... 2answers 1k views ### Inverse of ratio Say I have two equations:$$a = {b \over c} \\ d = {c \over b}$$Now assume that I know the value of b \over c (e.g. 4), how would I then determine the value of c \over b? Note: I do not ... 3answers 2k views ### Ratio test with limsup vs lim Could I prove that the ratio test still works using \limsup(\frac{a_{n+1}}{a_n}) instead of \lim(\frac{a_{n+1}}{a_n})? I think for \limsup<1 I could show that for \epsilon>0, N>1 \... 2answers 859 views ### Ratios of combination A glass contains vinegar and water in the ratio 1:3. Another glass twice the capacity of the first has vinegar and water in the ratio 1:4. If the contents of both glasses were mixed together in ... 2answers 545 views ### How fast is the water level rising? A pyramid-shaped vat has square cross-section and stands on its tip. The dimensions at the top are 2\text{ m}\times2\text{ m},and the depth is 5\text{ m}. If water is flowing into the vat at 3\... 0answers 516 views ### Aspect Ratio with two rectangles This is probably simpler that I'm making it (it would have to be), but I'm stuck and don't even quite know how to language this. Imagine I have two boxes; one has a width of 3/4 of the whole, and the ... 3answers 124 views ### Inverse proportion - Word Problem Question: given that B^2 is inversely proportional to A+3 and B is always positive, find the value of B when A=17 if B=5 when A=2. I am so confused on how to work out this question. I ... 0answers 201 views ### Width and height ratio of object in image I hope I ask this in the correct place. How do I get the width and height ratio of for example a sheet of paper (or some other rectangular thing) from a image. I have built a program that that ... 2answers 50 views ### Efficient way to check whether triangles are similar If we need to find if a triangle is isosceles, we can compare like a=b, b=c and a=c. But there are 3 comparisons. With (a-b)(b-c)(a-c) = 0, we can check it with one comparison. Usually for similar ... 8answers 14k views ### Is there a size of rectangle that retains its ratio when it's folded in half? A hypothetical (and maybe practical) question has been nagging at me. If you had a piece of paper with dimensions 4 and 3 (4:3), folding it in half along the long side (once) would result in 2 inches ... 1answer 55 views ### Comparing ratios? [closed] Im 12 and in need help on how to do these comparing stuff. Here is my problem/question So how do I figure this out? 1answer 18k views ### how to work out a total % for 2 components worth 60% and 40% Trying to work out the overall mark for a module with 2 components eg. component A is worth 40 % of the total and is awarded 55 out of 100 component B is worth 60 % of the total and is awarded 52 out ... 1answer 92 views ### ratio of 3 numbers with a given a number My sister has a homework but I cannot understand the question correctly (do not know if it is correct as well) 3 numbers are in the ratio of "3:4:5". 28 is the middle number, what are the other 2 ... 2answers 503 views ### Determining the Number of Adult Tickets from a Ratio of 4 is to 5 The ratio of adult tickets to student tickets for the play was 4:5. If the sum of the adult tickets and one half of the student tickets is 260, how many adult tickets were sold? The choices are as ... 2answers 974 views ### Triangle Area Ratio Theorem Problems? Having a hell of a lot of issues with these problems, supposed to be on the topic of triangle area ratio theorem (ratio area of triangles = ratio of triangles' heights x ratio of triangles' bases.) ... 1answer 33 views ### Calculate profit in investment by a person joined x months later A and B enter into Partnership investing rs 12000 and 6000 respectively. After 8 months, C Also joins with capital of 15000. The share of c in the profit of 45600 after 2 years will be ? I assume the ... 1answer 92 views ### Ratio can you answer? please help me [closed] In a mathematics club,there were 8 girls for every 5 boys.When 19 boys and 4 girls were added,the ratio became 9 girls for every 7 boys .How many girls were there at the start. 1answer 1k views ### Solve for minimum x value in two-variable equation provided a ratio The equation is:$$500 = 5x - 2y I know the ratio of x to y is $7:3$; what is the minimum possible value of x and how would I approach this question?
The question is: Suppose $60$ is divided into $3$ parts in the ratio of $1$:$3$:$6$. What is the value of the middle part? I tried to take $60$, divide it into $3$ parts and divide those $3$ parts ...