The three most popular ice cream flavors are chocolate, strawberry, and vanilla, comprising 70 % of the flavors
sold at an ice cream shop. If vanilla sells 2 % more than twice strawberry, and chocolate sells for 6 % more than
vanilla, how much of the total ice cream consumption are the vanilla, chocolate and strawberry flavors?

Respuesta :

The total ice cream consumption of vanilla, chocolate and strawberry flavours are as follows:

strawberry sells = 12 %

vanilla sells = 2 + 2x = 2 + 24 = 26%

chocolate sells = 8 + 2x = 8 + 24 = 32%

The 3 most popular ice cream flavours are chocolate, strawberry and Vanilla.

This 3 flavours comprises of 70% of the flavour sold at an ice cream shop.

let

% strawberry sells = x

% vanilla sells = 2 + 2x

% chocolate sells = 6 + (2 + 2x) = 8 + 2x

Therefore,

x + 2 + 2x + 8 + 2x = 70

5x = 70 - 10

5x = 60

divide both sides by 5

5x / 5 = 60 / 5

x = 12

Therefore,

% strawberry sells = 12 %

% vanilla sells = 2 + 2x = 2 + 24 = 26%

% chocolate sells = 8 + 2x = 8 + 24 = 32%

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