Question

The ratio of the number of Claire's stamps to the number of John's

stamps is 2:3. If John has 24 stamps, how many stamps does Claire have?

Answer 1

Claire has 16 stamps

Explanation:

Proportions

If two variables are proportional, their ratio is constant. For example, the distance traveled by car is proportional to the time it travels at a constant speed. We write it as d:t=constant.

It's known the number of Claire's stamps to the number of John's stamps is 2:3 and John has 24 stamps.

This means the following relation must stand:

`\displaystyle (C)/(J)=(2)/(3)`

Where C is the number of stamps of Claire and J is the number of stamps of John. We know J=24, thus:

`\displaystyle (C)/(24)=(2)/(3)`

Solving for C:

`\displaystyle C=24\cdot(2)/(3)`

C = 16

Claire has 16 stamps