2010 AMC 10A Problem 3

Problem 3 of 25EasierAlgebra

Tyrone had

97

marbles and Eric had

11

marbles. Tyrone then gave some of his marbles to Eric so that Tyrone ended with twice as many marbles as Eric. How many marbles did Tyrone give to Eric?

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Solution

Let

x

be the number of marbles that Eric ends up with. Then Tyrone ends up with

2x.

The total number of marbles is

97 + 11 = 108,

3x = 108

x = 36.

Then, Tyrone ends up with

36 \cdot 2 = 72

marbles. This means he has to give away

97 - 72 = 25

marbles. Thus, D is the correct answer.

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