Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [ratio]

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

In mathematics, a ratio is a relationship between two quantities indicating how many times the first number contains the second. For example, if a bowl of fruit contains eight oranges and six lemons, then the ratio of oranges to lemons is eight to six (that is, $8:6$, which is equivalent to the ratio $4:3$). The numbers compared in a ratio can be any quantities of a comparable kind, such as objects, persons, lengths, or spoonfuls. A ratio is written "$a$ to $b$" or $a:b$, or sometimes expressed arithmetically as a quotient of the two.

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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 : 4 to obtain a second rectangle, find the ratio…
user71346
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How to interpret the ratios calculation in H. Simon's watchmaker parable?

In 1962 Herbert Simon wrote a paper in which he presents his watchmaker parable about how piecemeal construction is more robust than one-shot construction. I won't repeat the full argument here - see the link - though the gist is below. My question…
Diploria
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Some basic questions regarding proportion terminology

A question posed in a review assignment: Find the fourth proportional to $4,6$ and $8$ The answer is 12. Thus I guess we were supposed to solve $\frac{4}{8}=\frac{6}{12}$. So when the numbers are listed like this, is it common to assume that this…
user637978
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Hardy Littlewood constants for prime constellations

Are the ratios of Hardy Littlewood constants for prime constellations already well understood? If so, can you please point me to a relevant paper(s)? I came upon an Euler-inspired formula that yields the ratios of Hardy Littlewood constants for…
Nels Ylitalo
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Get the ratio of a products uses and price per use.

Not sure I am going to ask this well or even if the title is correct. say you have a dataset like: 59 uses - price per use £0.09p 43 uses - price per use £0.06p 59 uses - price per use £0.04p 66 uses - price per use £0.12p 62 uses - price per use…
Bob Lee
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"Ratio" and "proportion" confusions

Ratio: How much of one thing compared to the other. But we have got two different types of definitions of Proportions: How much of one thing is compared to the total. Proportion says two ratios are equal. And sometimes I see people using the…
user100323
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Solving for a ratio of intervals

How is it possible to solve for the possible values of $x$ given the following information? $\frac{a}{b}=\frac{2}{3},$ where $a \in [x, x+1)$ and $b \in [x,x+\frac{1}{2})$. I can see that a valid value of $x$ would be $0$, and that $10$, for…
Benjamin Crawford Ctrl-Alt-Tut
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How to determine mixing ratio to get desired percentage?

Let's say I have two types of chocolate. Chocolate A contains 70% cocoa and 30% sugar. Chocolate B contains 100% cocoa and no sugar. How can I figure out the exact mixing ratio I need to use to combine these two chocolates into a new product that…
Emiliy
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What is a $5:1$ ratio?

This is probably a really simple question but I feel it has two different answers. If I could get some guidance as to which is right the would be great. I need to apply $1000$ N at two points, say A and B, at a $5:1$ ratio. I think it could either…
this guy123
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Ratio problems on currencies

Though both are ratio problems on currencies, one I am getting right answer the way I am solving, where other is wrong. But, I didn't find what mistake I made! Can anyone clarify? In a certain country, $8$ rubels worth $1$ schilling, and $5$…
Mahmudul Hasan
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How many servings of cereal in 450-gram box?

I am helping my brother with his math again - I need a way to explain this to him!I am ages past this and don't have the time to find an explanation and figured that asking here would be quicker. The question is: A $450$-gram box of cereal gives the…
Carlos Carlsen
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Prove six cross ratio values

I have to prove that the cross ratio of all permutations of 4 collinear points on a line can at most be one of the following values: $$ \left\{ \tau, \frac{1}{\tau}, 1-\tau, \frac{1}{1-\tau}, \frac{\tau-1}{\tau}, \frac{\tau}{\tau-1}\right\} $$ Given…
ooorndtski
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How to adjust a ratio to create desired proportion

Let's say I have a bunch of apples and oranges. Specifically 500 apples and 760 oranges. I need to create a big basket of fruit. For every 7 apples I include, I need to include 3 oranges. I want to make the biggest basket possible using as much of…
Kyle Magilavy
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Solving a Ratio Problem with Three Variables

A question that just popped in my head after reading an article: If the radius of Planet X is 16% larger than that of Earth, and Planet X has 40% the radius of Planet Y, then what is the radius of Planet Y in terms of Earth radii? I'm having…
TRX
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Using ratio find the difference of two numbers will be

Two number are in the ratio 2:5 and become 4:7 when 5 is added to each of them.Twice the difference of two numbers will be.
Abhiruchi Sharma
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