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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?​

Sagot :

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Answer:

Let x be the total number of cupcakes.

Chocolate chips =

[tex] \frac{2}{3} x[/tex]

Strawberry =

[tex] \frac{1}{4} \times \frac{1}{3} \\ = \frac{1}{12} x[/tex]

Vanilla =

[tex]x - \frac{2}{3} x - \frac{1}{12}x \\ = \frac{1}{3} x - \frac{1}{12} x \\ = \frac{1}{4} x[/tex]

given

[tex] \frac{1}{4} x = 90[/tex]

[tex]x = 90 \div \frac{1}{4} \\ = 90 \times 4 \\ = 360[/tex]

a)Number of Chocolate chip Cupcakes =

[tex] \frac{2}{3} \times 360 \\ = 240[/tex]

b)Number of Strawberry cupcakes =

[tex] \frac{1}{12} \times 360 \\ = 30[/tex]

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