2. 外语
  3. If x dollars are invested at 12 percent for one year and y dollars are invested at 8 percent for one year, the annual income fro

If x dollars are invested at 12 percent for one year and y dollars are invested at 8 percent for one year, the annual income fro

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问题 If x dollars are invested at 12 percent for one year and y dollars are invested at 8 percent for one year, the annual income from the 8 percent investment will exceed the annual income from the 12 percent investment by $64. If $5,000 is the total amount invested between x and y, how much is invested at 12 percent?
选项 A、$1,680
B、$1,997
C、$3,003
D、$3,320
E、$3,500
答案A
解析 From the information in the question, you can set up the equation 0.08y=0.12x+64; to get rid of the decimals, you can multiply both sides by 100 and get 8y=12x+6,400, which can be restated as 2y-3x=1,600. From the information in the question, you can also set up the equation y+x=5,000, which can be restated as 3y+3x=15,000; if you add the two restated equations together, you will get 5y=16,600; y=16,600/5=3,320. If 3,320+x=5,000, then x=1,680.
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