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# The total cost of 3 bananas, 2 apples, and 1 mango is $3.50.  Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: GRE Prep Club Legend Joined: 07 Jun 2014 Posts: 4857 GRE 1: Q167 V156 WE: Business Development (Energy and Utilities) Followers: 112 Kudos [?]: 1856 [0], given: 397 The total cost of 3 bananas, 2 apples, and 1 mango is$3.50. [#permalink]  19 Aug 2018, 03:05
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66% (02:18) correct 33% (00:28) wrong based on 12 sessions
The total cost of 3 bananas, 2 apples, and 1 mango is $3.50. The total cost of 3 bananas, 2 apples, and 1 papaya is$4.20. The ratio of the cost of a mango to the cost of a papaya is 3 : 5.

 Quantity A Quantity B The cost of a papaya $$\2.00$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: The total cost of 3 bananas, 2 apples, and 1 mango is $3.50. [#permalink] 04 Sep 2018, 14:01 Expert's post sandy wrote: The total cost of 3 bananas, 2 apples, and 1 mango is$3.50. The total cost of 3 bananas, 2 apples, and 1 papaya is $4.20. The ratio of the cost of a mango to the cost of a papaya is 3 : 5.  Quantity A Quantity B The cost of a papaya $$\2.00$$ A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given. Let B = cost of 1 banana Let A = cost of 1 apple Let M = cost of 1 mango Let P = cost of 1 papaya The total cost of 3 bananas, 2 apples, and 1 mango is$3.50
We can write: 3B + 2A + M = 3.50

The total cost of 3 bananas, 2 apples, and 1 papaya is $4.20 We can write: 3B + 2A + P = 4.20 We have two equations: 3B + 2A + P = 4.20 3B + 2A + M = 3.50 Subtract the bottom equation from the top equation to get: P - M = 0.7 The ratio of the cost of a mango to the cost of a papaya is 3 : 5 We can write: M/P = 3/5 Cross multiple to get: 5M = 3P Rearrange to get: 3P - 5M = 0 We now have the following: P - M = 0.7 3P - 5M = 0 Take top equation and multiply both sides by 5 to get: 5P - 5M = 3.50 3P - 5M = 0 Subtract the bottom equation from the top equation to get: 2P = 3.50 Solve: P = 1.75 (this is the value of Quantity A) Answer: B Cheers, Brent _________________ Brent Hanneson – Creator of greenlighttestprep.com Sign up for my free GRE Question of the Day emails Re: The total cost of 3 bananas, 2 apples, and 1 mango is$3.50.   [#permalink] 04 Sep 2018, 14:01
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