Algebra Puzzle – Challenge 37

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

Algebra Puzzle – Challenge 37


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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The correct answer is C.

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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