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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]