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a and b are nonzero integers such that 0.35a = 0.2b . . .

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by Vincen » Tue Dec 26, 2017 5:09 am
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

The OA is the option D.

What is the best way to solve this PS question? Experts, may you show me how would you solve it? Thanks in advanced.
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by elias.latour.apex » Tue Dec 26, 2017 6:08 am
Simply divide both sides of the equation by 0.2 and you have your answer.
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by GMATWisdom » Tue Dec 26, 2017 6:29 am
elias.latour.apex wrote:Simply divide both sides of the equation by 0.2 and you have your answer.
multiply both sides by 5 and we get
1.75a=b
Hence option D.
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by Brent@GMATPrepNow » Thu Dec 28, 2017 3:46 pm
Vincen wrote: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
Another approach:
Given: 0.35a = 0.2b
Multiply both sides by 10 to get : 3.5a = 2b
Divide both sides by 2 to get : 1.75a = b

Answer: D

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by Scott@TargetTestPrep » Tue Sep 17, 2019 8:42 am
Vincen wrote: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

The OA is the option D.

What is the best way to solve this PS question? Experts, may you show me how would you solve it? Thanks in advanced.
Simplifying the equation, we have:

35a = 20b

35a/20 = b

7a/4 = b

1.75a = b

Answer: D

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