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?

Respuesta :

Answer:

Claire has 16 stamps

Step-by-step 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:

[tex]\displaystyle \frac{C}{J}=\frac{2}{3}[/tex]

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

[tex]\displaystyle \frac{C}{24}=\frac{2}{3}[/tex]

Solving for C:

[tex]\displaystyle C=24\cdot\frac{2}{3}[/tex]

C = 16

Claire has 16 stamps