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2017/18 AHSMC Part 1 Problem 1

Problem 1 of 16

Peppa has twice as many apples as pears. After she eats 5050 pears, she now has 44 times as many apples as pears. How many apples does Peppa have?

Answer choices

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Solution

Peppa initially has xx apples and x2\dfrac{x}{2} pears, then 4(x2−50)=x4\bigl(\dfrac{x}{2} - 50\bigr) = x and thus x=200x = 200. The answer is (C).

University of Alberta