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Andre has already saved 3/7 of the cost of a new car, and he has calculated that he will be able to save 2/5 of the

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by BTGmoderatorDC » Sun Jul 19, 2020 6:51 pm

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Andre has already saved 3/7 of the cost of a new car, and he has calculated that he will be able to save 2/5 of the remaining amount before the end of the summer. If his calculations are correct, what fraction of the cost of the new car will he still need to save at the end of summer vacation?

A. 6/36
B. 8/35
C. 12/35
D. 23/35
E. 29/35


OA C

Source: Princeton Review
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Re: Andre has already saved 3/7 of the cost of a new car, and he has calculated that he will be able to save 2/5 of the

by Jay@ManhattanReview » Sun Jul 19, 2020 11:21 pm
BTGmoderatorDC wrote: ↑
Sun Jul 19, 2020 6:51 pm
 Andre has already saved 3/7 of the cost of a new car, and he has calculated that he will be able to save 2/5 of the remaining amount before the end of the summer. If his calculations are correct, what fraction of the cost of the new car will he still need to save at the end of summer vacation?

A. 6/36
B. 8/35
C. 12/35
D. 23/35
E. 29/35

OA C

Source: Princeton Review
After Andre has already saved 3/7 of the cost of a new car, the remaining value of car = 1 – 3/7 = 4/7

After Andre will be able to save 4/5 of the remaining amount, the remaining value of the car = (1 – 2/5) = 3/5 of the remaining amount = 3/5 of 4/7 = 12/35

Correct answer: C

Hope this helps!

-Jay
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