30.3k views
5 votes
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?

User JirkaV
by
7.9k points

1 Answer

3 votes

Answer:

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.

User Dorothea
by
7.6k points