Algebra Puzzle – Challenge 37

This is a great critical thinking challenge for those who enjoy teasing their brain and testing their logic. Challenge:

Alice bought two books with $$\frac{2}{5}$$ of her money and bought 4 pencils with $$\frac{2}{9}$$ of her remaining money. If the price of each book was $15, what was the price of each pencil? A-$1.00

B- $2.50 C-$4.00

D- $6.50 E-$8.00

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Let x be the Alice’s money. Then: $$\frac{2}{5}x = 15 + 15 = 30 X = 75$$
After buying two books, Alice has $45. $$\frac{2}{9}$$ of$45 is $10. 10 ÷ 4 = 2.5 The price of each pencil was$2.50

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