Question

A cotton candy vendor has 24 cones of blue cotton candy to sell. If the blue cotton candy is 75% of the total number of cones, how many total cotton candy cones does he have?

Answer 1

32

Explanation:

We can write a proportion. We know that 24 is 75% of an unknown amount og cones. Let's call it x. We write equal ratios of
`(75)/(100)` comparing percent and
`(24)/(x)` comparing the 24 to the total number. We then set them equal.

`(75)/(100) =(24)/(x)`

We then cross multiply across the equal sign from numerator to the opposite numerator.

75(x)=24(100)

75x=2400

We divide to find x.

x=32.