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SAT Prep

Category - Math

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John gives 1/2 of his apples to his mother, 1/3 to his sister, and 1/9 to his friend, leaving him with one apple. How many apples did John originally have?

Explanation

Answer: E - John had 18 apples. Denote the number of all apples with x.
1/2 x + 1/3 x + 1/9 x + 1 = x

The least common multiple for 2, 3, and 9 is 18. Multiply both sides of the equation by 18.
18 × (1/2 x + 1/3 x + 1/9 x + 1) = 18x
9x + 6x + 2x + 18 = 18x
17x + 18 = 18x
18 = 18x − 17x
18 = x

John had 18 apples.

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