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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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
Reza is an experienced Math instructor and a test-prep expert who has been tutoring students since 2008. He has helped many students raise their standardized test scores--and attend the colleges of their dreams. He works with students individually and in group settings, he tutors both live and online Math courses and the Math portion of standardized tests. He provides an individualized custom learning plan and the personalized attention that makes a difference in how students view math.
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