Answer:
[tex]\frac{10}{30}=\frac{x}{45}[/tex]
x = 15 cookies
Step-by-step explanation:
A proportion is the same as setting up equivalent ratios or fractions. Since John can eat 10 cookies in half an hour (30 minutes) the first ratio is:
[tex]\frac{cookies}{time}=\frac{10}{30}=\frac{1}{3}[/tex]
So, John can eat one (1) cookie every three (3) minutes. To find out how many cookies he can eat in 45 minutes, we set up equivalent fractions where 'x' represents the number of cookies:
[tex]\frac{10}{30}=\frac{x}{45}[/tex]
We can then use cross-multiplication and divide to solve for 'x':
30x = 450, divide both sides by 30: 30x/30 = 450/30 or x = 15 cookies.
