Question

Ariel made cupcakes to sell. 2/3 of them were chocolate chip,25% of the reminder was strawberry and the rest were 90 vanilla cupcakes. a) How many cupcakes were chocolate chip ? b) How many cupcakes were strawberry?​

Answer 1

Let x be the total number of cupcakes.

Chocolate chips =

`(2)/(3) x`

Strawberry =

`(1)/(4) * (1)/(3) \\ = (1)/(12) x`

Vanilla =

`x - (2)/(3) x - (1)/(12)x \\ = (1)/(3) x - (1)/(12) x \\ = (1)/(4) x`

given

`(1)/(4) x = 90`

`x = 90 / (1)/(4) \\ = 90 * 4 \\ = 360`

a)Number of Chocolate chip Cupcakes =

`(2)/(3) * 360 \\ = 240`

b)Number of Strawberry cupcakes =

`(1)/(12) * 360 \\ = 30`