Question

If a copier contains 60% letter-size paper and 40% legal-size paper, what is the ratio of letter-size paper to legal-size paper?

Answer 1

The ratio of letter-size paper to legal-size paper is 3/2

Explanation:

Ratio

Suppose some quantity has a value X respect to another quantity of value Y, we say that the ratio between them is

`\displaystyle r=(X)/(Y)`

That magnitude of the ratio can be greater than one, when X>Y, less than one if X<Y or 1 if they are equal

We are told that a copier contains 60% letter-size paper and 40% legal-size paper. The proportion or ratio of letter-size paper to legal-size paper is

`\displaystyle r=(60)/(40)`

Simplifying

`\displaystyle r=(3)/(2)`

Thus the ratio of letter-size paper to legal-size paper is 3/2

Answer 2

The ratio is 3/2 or 3:2

Explanation:

we know that

To find out the ratio of letter-size paper to legal-size paper, divide the percentage of letter-size paper by the percentage of legal-size paper

so

`(60)/(40)`

Simplify

`(60)/(40)=(6)/(4)=(3)/(2)`

therefore

The ratio is 3/2 or 3:2