Question

The three most popular ice cream flavors are chocolate, strawberry, and vanilla, comprising 81% of the flavors sold at an ice cream shop. If vanilla sells 10% more than twice strawberry, and chocolate sells 6% more than vanilla, how much of the total ice cream consumption are the vanilla, chocolate, and strawberry flavors?

Answer 1

32% vanilla, 11% strawberry, 38% chocolate

Explanation:

Let the percent of the total consumption represented by vanilla be
`x`. Then,
`(x)/(2)-5` is strawberry and
`x+6` percent is chocolate.

`x+(x)/(2)-5+x+6=81 \\ \\ 2.5x=80 \\ \\ x=32`

So, 32% is vanilla, 11% is strawberry, and 38% is chocolate.