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A lemonade stand sold only small and large cups of lemonade

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A lemonade stand sold only small and large cups of lemonade [#permalink] New post 25 Nov 2011, 14:09
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83% (02:33) correct 17% (02:40) wrong based on 48 sessions
A lemonade stand sold only small and large cups of lemonade on Tuesday. 3/5 of the cups sold were small and the rest were large. If the large cups were sold for 7/6 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?

A. 7/16
B. 7/15
C. 10/21
D. 17/35
E. 1/2
[Reveal] Spoiler: OA

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Last edited by Bunuel on 05 Feb 2012, 14:17, edited 1 time in total.
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Re: A lemonade stand sold only small and large cups of lemonade [#permalink] New post 05 Feb 2012, 14:27
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manalq8 wrote:
A lemonade stand sold only small and large cups of lemonade on Tuesday. 3/5 of the cups sold were small and the rest were large. If the large cups were sold for 7/6 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?

A. 7/16
B. 7/15
C. 10/21
D. 17/35
E. 1/2


This problem is very good example how easy and quick plug-in method might be.

Let the total # of cups be 10.
# of small cups sold 3/5*10=6;
# of large cups sold 10-6=4;

Let the price of small cup be $6, then the price of larges cup would be 7/6*6=$7;

Revenue from small cups: 6*$6=$36;
Revenue from large cups cups: 4*$7=$28;

Fraction of total revenue from large cups: 28/(36+28)=7/16.

Answer: A.
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Re: A lemonade stand sold only small and large cups of lemonade [#permalink] New post 03 Oct 2014, 08:57
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A lemonade stand sold only small and large cups of lemonade [#permalink] New post 03 Oct 2014, 21:33
......................... Small .................... Large ............ Total

Sale .................... \frac{3x}{5} ..................... \frac{2x}{5} ................. x (Assume)

Price ..................... a .......................... \frac{7a}{6}

Required Fraction= \frac{\frac{2x}{5} * \frac{7a}{6}}{\frac{3xa}{5} + \frac{14xa}{6}} = \frac{14xa}{30} * \frac{30}{32xa} = \frac{7}{16}
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A lemonade stand sold only small and large cups of lemonade   [#permalink] 03 Oct 2014, 21:33
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