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### HideShow timer Statistics At Joe's candy store, the total cost of 1 gumball and 1 lollipop is $0.74. The total cost of 1 chocolate bar and 1 lollipop is$0.92. The total cost of 1 gumball and 1 chocolate bar is $1.24. What is the cost in dollars of 1 chocolate bar? A. 0.53 B. 0.59 C. 0.63 D. 0.67 E. 0.71 _________________ Senior PS Moderator V Joined: 26 Feb 2016 Posts: 3359 Location: India GPA: 3.12 Re: At Joe's candy store, the total cost of 1 gumball and 1 lollipop is$0  [#permalink]

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Bunuel wrote:
At Joe's candy store, the total cost of 1 gumball and 1 lollipop is $0.74. The total cost of 1 chocolate bar and 1 lollipop is$0.92. The total cost of 1 gumball and 1 chocolate bar is $1.24. What is the cost in dollars of 1 chocolate bar? A. 0.53 B. 0.59 C. 0.63 D. 0.67 E. 0.71 Let the cost of a gumball be G, the cost of a chocolate bar be C, and the cost of a lollipop be L From the question stem, we can form the three equations, G + L = 74 | C + L = 92 | G + C = 124 Adding the three, we get 2(G + L + C) = 124 + 74 + 92 = 290 -> G + L + C = 145 Since we need the cost of a chocolate bar, we need to reduce the cost of the lollipop and gumball. Therefore, the cost of one chocolate bar is 145 - 74 = 71 cents or 0.71$(Option E)

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Re: At Joe's candy store, the total cost of 1 gumball and 1 lollipop is $0 [#permalink] ### Show Tags 1G + 1L =$0.74.....(1)
1C + 1L = $0.92.....(2) 1G +1C =$1.24......(3)

Subtracting 1 from 2 gives 1C - 1G = $0.18 Adding this to 3 gives 2C =$1.42
Or 1C = $0.71 E is the answer. _________________ Press +1 Kudos If my post helps! Board of Directors P Status: QA & VA Forum Moderator Joined: 11 Jun 2011 Posts: 4512 Location: India GPA: 3.5 WE: Business Development (Commercial Banking) Re: At Joe's candy store, the total cost of 1 gumball and 1 lollipop is$0  [#permalink]

### Show Tags

Bunuel wrote:
At Joe's candy store, the total cost of 1 gumball and 1 lollipop is $0.74. The total cost of 1 chocolate bar and 1 lollipop is$0.92. The total cost of 1 gumball and 1 chocolate bar is $1.24. What is the cost in dollars of 1 chocolate bar? A. 0.53 B. 0.59 C. 0.63 D. 0.67 E. 0.71 $$g + l = 0.74$$ $$c + l = 0.92$$ $$g + c = 1.24$$ Add the 3 equations - $$2g + 2c + 2l = 2.9$$ Or, $$g + c + l = 1.45$$ Now, subtract - $$c = ( g + c + l ) - ( g + l )$$ Or, $$c = 1.45 - 0.74$$ Or, $$c = 0.71$$, Answer must be (E) _________________ Thanks and Regards Abhishek.... PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only ) Re: At Joe's candy store, the total cost of 1 gumball and 1 lollipop is$0   [#permalink] 21 Aug 2018, 07:33
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# At Joe's candy store, the total cost of 1 gumball and 1 lollipop is \$0  