GMAT
题目
Jackson invested $300,000, dividing it all unequally between Account P and Account Q. At the end of the year, it turned out that Account P had earned 12% interest and Account Q had earned 25% interest. If Jackson earned a total of $60,000 in interest between the two accounts, which of the following is approximately the amount he put in account P?
解析
我们设\( p \)为账户P中的金额，\( q \)为账户Q中的金额。由此可列出方程组：
\( p + q = 300000 \)
以及
\( 0.12p + 0.25q = 60000 \)
将第二个方程乘以4，得到：
\( 0.48p + q = 240000 \)
用第一个方程减去这个方程：
\( 0.52p = 60000 \)
解得：
\( p = 60000 ÷ 0.52 ≈ 115384 \)
答案：A
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