Paulette, Quentin, and Rosie each donated money to a charity. Paulette gave as much money as Quentin and Rosie gave together. If Quentin had given three times more than he gave, he would have given 40 more than Paulette. And if Rosie had given 20 less, she would have given half as much as Paulette. How much did Paulette give?

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120

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answer is D.

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Detailed Solution

Concept- Here, we'll start by expressing the spoken assertions as mathematical expressions. Then we will simplify, substitute the values appropriately, and get the necessary unknowns.
Let's assume that Paulette, Quentin, and Rosie each gave a certain charity the sums of a, b, and c.
Paulette contributed an amount equal to Quentin and Rosie together.
Let the amount Paulette, Quentin and Rosie donated be p, q, r respectively.
Given,

If we replace (1) with (2) and (3) , we obtain

Hence, the correct answer is option 4.

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