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Algebraic Expressions

Deepa bought ...

Question

Deepa bought some apples. On the first day, her family ate one apple and 1/4 of the remaining apples. The next day, they ate 2 apples and 1/4 of the remaining. On the third and final day, they ate the remaining 3 apples ,What is the total number of apples purchased by Deepa ?

A

21

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B

17

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C

9

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D

13

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Solution

The correct option is B 9
$L e t t h e n u m b e r s o f a p p l e s b e x, A p p l e s l e f t a f t e r d a y 1 = x - 1 - \frac{(x - 1)}{4} = \frac{3 x - 3}{4} A p p l e s l e f t a f t e r d a y 2 = \frac{3 x - 3}{4} - 2 - \frac{3 x - 11}{16} = \frac{9 x - 33}{16} \frac{9 x - 33}{16} = 3 9 x = 48 + 33 x = 9$

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