AMC10 2010 A

AMC10 2010 A · Q3

AMC10 2010 A · Q3. It mainly tests Linear equations, Word problems (algebra).

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?

Tyrone 原来有 97 颗弹珠，Eric 有 11 颗。Tyrone 给了 Eric 一些弹珠，使得 Tyrone 最后剩下的弹珠是 Eric 的两倍。Tyrone 给了 Eric 多少颗弹珠？

(A) 3 3

(B) 13 13

(D) 25 25

(E) 29 29

Answer

Correct choice: (D)

正确答案：（D）

Solution

Answer (D): Let $x$ be the number of marbles that Tyrone gave to Eric. Then $97-x=2(11+x)$. Solving this equation yields $x=25$.

答案（D）：设 $x$ 为泰隆给埃里克的弹珠数量。则有 $97-x=2(11+x)$。解该方程得到 $x=25$。

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