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

Expert replies
by BTGModeratorVI » Sun Feb 23, 2020 7:01 am

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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

Answer: D
Source: Princeton Review
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Source: — Problem Solving |

BTGModeratorVI wrote:
Sun Feb 23, 2020 7:01 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

Answer: D
Source: Princeton Review
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

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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BTGModeratorVI wrote:
Sun Feb 23, 2020 7:01 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

Answer: 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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