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

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Vincen: Legendary Member; Posts: 2898; Joined: Thu Sep 07, 2017 2:49 pm; Thanked: 6 times; Followed by:5 members

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

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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Source: Beat The GMAT — Problem Solving | Tue Dec 26, 2017 5:09 am

elias.latour.apex: Master | Next Rank: 500 Posts; Posts: 228; Joined: Thu Apr 20, 2017 1:02 am; Location: Global; Thanked: 32 times; Followed by:3 members; GMAT Score:770

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.

Elias Latour
Verbal Specialist @ ApexGMAT
blog.apexgmat.com
+1 (646) 736-7622

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GMATWisdom: Master | Next Rank: 500 Posts; Posts: 100; Joined: Wed Nov 29, 2017 4:38 pm; Thanked: 14 times

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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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

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

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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GMAT/MBA Expert

Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

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.