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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # Marisa has $40 more than Ben, and Ben has one-third as much  Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: Retired Moderator Joined: 07 Jun 2014 Posts: 4803 GRE 1: Q167 V156 WE: Business Development (Energy and Utilities) Followers: 173 Kudos [?]: 2971 , given: 394 Marisa has$40 more than Ben, and Ben has one-third as much [#permalink]
Expert's post 00:00

Question Stats: 100% (00:33) correct 0% (00:00) wrong based on 21 sessions
Marisa has $40 more than Ben, and Ben has one-third as much money as Marisa. How many dollars does Ben have? [Reveal] Spoiler: OA 20 _________________ Sandy If you found this post useful, please let me know by pressing the Kudos Button Try our free Online GRE Test Manager Joined: 02 May 2018 Posts: 58 Followers: 0 Kudos [?]: 31 , given: 22 Re: Marisa has$40 more than Ben, and Ben has one-third as much [#permalink]
$$M = 40 + B$$
$$B = \frac{1}{3}M$$

$$M = 40 + \frac{1}{3}M$$
$$\frac{2}{3}M = 40$$
$$2M = 120$$
$$M = 60$$

Now that we know Marisa has 60 dollars, we plug it into the original equation.

$$60 = 40 + B$$
$$20 = B$$

Ben has 20 dollars.
Retired Moderator Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 173

Kudos [?]: 2971 , given: 394

Re: Marisa has $40 more than Ben, and Ben has one-third as much [#permalink] Expert's post Explanation Translate the given information. Let M equal Marisa’s money and B equal Ben’s: $$M = B + 40$$ $$B =\frac{1}{3} M$$ The question asks for B, so solve the second equation for M and substitute into the first equation: $$3B = M$$ $$3B = B + 40$$ $$2B = 40$$ $$B = 20$$ Check the answer. If Ben has$20 and Marisa has $40 more than Ben, she has$60. It is true that Ben has one-third as much money as Marisa.
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Sandy
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Intern  Joined: 04 May 2017
Posts: 36
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Kudos [?]: 29 , given: 6

Re: Marisa has $40 more than Ben, and Ben has one-third as much [#permalink] We have system of equations as follows: M = B + 40 and B = 1/3*M <-> M = B + 40 and M = 3B -> 3B = B + 40 -> 2B = 40 -> B = 20. _________________ Do not pray for an easy life, pray for the strength to endure a difficult one - Bruce Lee Re: Marisa has$40 more than Ben, and Ben has one-third as much   [#permalink] 10 Jul 2018, 03:03
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# Marisa has \$40 more than Ben, and Ben has one-third as much  Question banks Downloads My Bookmarks Reviews Important topics  Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.