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GWD-1-19

Q19:

A total of $60,000 was invested for one year.  But of this amount earned simple annual interest at the rate of x percent per year, and the rest earned simple annual interest at the rate of y percent per year.  If the total interest earned by the $60,000 for that year was $4,080, what is the value of x?

(1)     x = (3/4) y

(2)   The ratio of the amount that earned interest at the rate of x percent per year to the amount that earned interest at the rate of y percent per year was 3 to 2.

                  

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D. EACH statement ALONE is sufficient.

E. Statements (1) and (2) TOGETHER are NOT sufficient.

correct answer is C,but why not D?

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many  thanks !!!!!!!!!!!!

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QUOTE:
以下是引用uniqueness在2006-7-18 13:45:00的发言:

假设a投资于x%的则有

x%×a+y%×(60000-a)=4080

三个未知数,要三个方程才能解出来,所以选D

啊???

要3个方程才能解出来

不是选C或者E嘛???

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假设a投资于x%的则有

x%×a+y%×(60000-a)=4080

三个未知数,要三个方程才能解出来,所以选D

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