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a and b are nonzero integers such that 0.35a = 0.2b. What is the value of b in terms of a?

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by BTGmoderatorDC » Thu Apr 02, 2020 5:33 pm

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B

C

D

E

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a and b are nonzero integers such that 0.35a = 0.2b. What is the value of b in terms of a?

(A) 0.07a
(B) 0.57a
(C) 0.7a
(D) 1.75a
(E) 17.5a


OA D

Source: Princeton Review
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Re: a and b are nonzero integers such that 0.35a = 0.2b. What is the value of b in terms of a?

by Jay@ManhattanReview » Thu Apr 02, 2020 10:33 pm
BTGmoderatorDC wrote: ↑
Thu Apr 02, 2020 5:33 pm
 a and b are nonzero integers such that 0.35a = 0.2b. What is the value of b in terms of a?

(A) 0.07a
(B) 0.57a
(C) 0.7a
(D) 1.75a
(E) 17.5a

OA D

Source: Princeton Review
We have 0.35a = 0.2b => 35a = 20b => b = 7a/4 = 1.75a

The correct answer: D

Hope this helps!

-Jay
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Re: a and b are nonzero integers such that 0.35a = 0.2b. What is the value of b in terms of a?

by Scott@TargetTestPrep » Fri Apr 10, 2020 2:56 am
BTGmoderatorDC wrote: ↑
Thu Apr 02, 2020 5:33 pm
 a and b are nonzero integers such that 0.35a = 0.2b. What is the value of b in terms of a?

(A) 0.07a
(B) 0.57a
(C) 0.7a
(D) 1.75a
(E) 17.5a


OA D

Source: Princeton Review
Simplifying the equation, we have:

35a = 20b

35a/20 = b

7a/4 = b

1.75a = b

Answer: D

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