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Sarah operated her lemonade stand Monday through

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Sarah operated her lemonade stand Monday through [#permalink] New post 28 Dec 2012, 08:19
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Question Stats:

49% (03:58) correct 51% (04:14) wrong based on 73 sessions
Sarah operated her lemonade stand Monday through Friday over a two week period and made a total profit of 276 dollars. On hot days she sold cups of lemonade for a price that was 25 percent higher than the regular days. Each cup she sold had a total cost of 75 cents and Sarah did not incur any other costs. If every day she sold exactly 32 cups and 3 of the days were hot, then what was the price of 1 cup on a hot day?

A. $ 1.50
B. $ 1.88
C. $ 2.25
D. $ 2.50
E. $ 3.25

The question is easy; I already solved it. However, it takes time to do it and many steps. Do you know a method to solve it in less tan 1.75 minutes?
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Re: Sarah operated her lemonade stand Monday through [#permalink] New post 29 Dec 2012, 02:20
danzig wrote:
Sarah operated her lemonade stand Monday through Friday over a two week period and made a total profit of 276 dollars. On hot days she sold cups of lemonade for a price that was 25 percent higher than the regular days. Each cup she sold had a total cost of 75 cents and Sarah did not incur any other costs. If every day she sold exactly 32 cups and 3 of the days were hot, then what was the price of 1 cup on a hot day?

A. $ 1.50
B. $ 1.88
C. $ 2.25
D. $ 2.50
E. $ 3.25

The question is easy; I already solved it. However, it takes time to do it and many steps. Do you know a method to solve it in less tan 1.75 minutes?



The steps are time taking , thought the calculations are easy..It took me also close to 2 minutes
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Re: Sarah operated her lemonade stand Monday through [#permalink] New post 28 May 2013, 09:02
Ok I am not getting the answer ... 1.50 .. How many days are you cobsidering 10 or 13 ?

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Re: Sarah operated her lemonade stand Monday through [#permalink] New post 28 May 2013, 09:31
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Asishp wrote:
Ok I am not getting the answer ... 1.50 .. How many days are you cobsidering 10 or 13 ?

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Sarah operated the stand Monday through Friday (5 days) over a two week period, thus she operated the stand for total of 10 days.

Sarah operated her lemonade stand Monday through Friday over a two week period and made a total profit of 276 dollars. On hot days she sold cups of lemonade for a price that was 25 percent higher than the regular days. Each cup she sold had a total cost of 75 cents and Sarah did not incur any other costs. If every day she sold exactly 32 cups and 3 of the days were hot, then what was the price of 1 cup on a hot day?

A. $ 1.50
B. $ 1.88
C. $ 2.25
D. $ 2.50
E. $ 3.25

7 regular days --> sales = 7*32*x = 224x;
3 hot days --> sales = 3*32*(1.25x) = 120x;

Total sales = 224x+120x = 344x.
Total cost = 10*32*0.75 = 240.

Profit = 344x - 240 = 276 --> x=1.5.
1.25x=~1.88.

Answer: B.

Hope it's clear.
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Re: Sarah operated her lemonade stand Monday through [#permalink] New post 28 May 2013, 10:42
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But the OA says A .. Is it wrong ?

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Re: Sarah operated her lemonade stand Monday through [#permalink] New post 28 May 2013, 11:26
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Re: Sarah operated her lemonade stand Monday through [#permalink] New post 28 May 2013, 11:31
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Thanks ... I also got the same answer ...

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Re: Sarah operated her lemonade stand Monday through [#permalink] New post 03 Nov 2013, 06:50
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You can put it all in one formula:
276 = (32*7*p+32*3*1.25*p) - 75*10*32
276 = (224p + 120p) - 24000 (thats in cents, or $240)
276+240 = 344p
1.5=p
p*1.25=~1.8
Re: Sarah operated her lemonade stand Monday through   [#permalink] 03 Nov 2013, 06:50
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Sarah operated her lemonade stand Monday through

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