Questions tagged [ratio]

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

699 questions
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Dividing contents with ratios

I'm taking a mock test and there is a relatively straight forward question that I am not sure about. ...
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Distance and speed of two people walking 100 miles

This is for GRE math prep. Can you explain why the answer to this is 54? ...
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Ratios to get the total

How do you solve this question? A cookie jar contains only two types of cookies - macaroons and ginger snaps. The ratio of macaroons to ginger snaps is $2:5$. Which of the following could be ...
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Proportions question with ratios

Can you help me understand the answer to this question? ...
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Figure out simple joint formula for sets of vectors?

I have on the left side four pairs of sample values that result in the respective pair of values on the right side. ...
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Express the following in terms of $q$.

Given that $\cos{160^{\circ}} = -q$, express $\cos70^{\circ}$ in terms of $q$. No example in the book, don't know how to do it?? I need a complete explanation.
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Ratio Math Problem

This is from a competition math problem I had recently that I just couldn't figure out. If $(x+y):(y+z):(x+z) = 1:2:4$ and $x+y+z=35$ compute the value of x. I can tell that $7*(x+y)=2x+2y+2z$ ...
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Change in length of a right triangle

And so my question is how do I prove the ??
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Question regarding ratio

I was trying to prove some of the results related to beta function and I came across this step Therefore, $$\frac{B(m+1,n)}{m}=\frac{B(m,n+1)}{n}=k,\quad\mathrm{say}\quad\ldots(i)$$ This yields ...
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Finding a combined ratio from two other ratios

So I have a problem with ratios that I need to sort out. I want to know how much of each of two types of food I need to eat in order to get a fixed amount of protein and carbs. an example... I want ...
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Uniqueness of Point

I want to proove: For points $P \neq Q \in \mathbb{R}$ and $a,b >0$ there is exactly one point $X \in [PQ]$ and exactly one point $X' \notin [PQ]$ with ratio $a:b$. For $a=b$ there is only one ...
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Simple ratio problem that I can't solve.

One fifth of criminals are hard-core criminals. The hard-core criminals commit two-thirds of the criminal acts. What is the ratio of the number of criminal acts committed by the average hard-core ...
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Calculate ratio $\frac{p^{3n}}{(\frac{p}{2})^{3n}}$

How do I calculate this ratio? I do not know even where to begin. $$\frac{p^{3n}}{(\frac{p}{2})^{3n}}$$ Thanks
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Avoid dividing by zero with just variables and basic operators

I am working on stats for a sports team, and one of the stats I have the ratio of Shots and Shots on Target (Which I call ...
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solve ratio word problem without algebra

Four gallons of yellow paint plus two gallons of red paint make orange paint. I assume this makes six gallons. So the ratio is 4:2, or 2:1. Question: how many gallons of yellow paint, and how many ...
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Simple but strange ratio problem, I understand the general case but not for this specific question

There is this ratio question that I understand the general case, but not for this specific case. Problem: A rectangle measures 32 cm by 24 cm. Given that its measurements are increased in the ratio 5 ...
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