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A magazine stand owner sells cups of coffee, newspapers, and packs

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Bunuel
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A magazine stand owner sells cups of coffee, newspapers, and packs [#permalink] New post   19 Mar 2024, 01:30
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95% (hard)

Question Stats:

48% (03:24) correct 52% (02:43) wrong based on 54 sessions
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­A magazine stand owner sells cups of coffee, newspapers, and packs ofgum. Compared to the number of cups of coffee he sells, he sells twice as many packs of gum, and three times as many newspapers. If he charges $1.25 for a cup of coffee, $.50 for a newspaper, and $.35 for a pack of gum, and sells no other items, which of the following could be the amount of his total gross sales on a given day?

I.$345.00
II.$58.65
III.$22.15

A. I only
B. I + II only
C. I + III only
D. II and III only
E. I, II and III only


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B
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Edoua
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Re: A magazine stand owner sells cups of coffee, newspapers, and packs [#permalink] New post   19 Mar 2024, 02:21
Answer C

Pcoffee*Nc + Pgu* Ngu + Pnewsp*Nnews = Sales

For 1Nc we have 2Ngu and 3 Nnewsp
For 1Nc =x. Ngu = 2x and Nnewsp= 3x

1.25x + 2*0.35*x + 3* 0.5 *x = Sales

x(3.45) =Sales

For x =17 Sales =58.65
x=100 Sales= 345.00

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Re: A magazine stand owner sells cups of coffee, newspapers, and packs [#permalink] New post   19 Mar 2024, 03:36
Edoua wrote:
Answer C

Pcoffee*Nc + Pgu* Ngu + Pnewsp*Nnews = Sales

For 1Nc we have 2Ngu and 3 Nnewsp
For 1Nc =x. Ngu = 2x and Nnewsp= 3x

1.25x + 2*0.35*x + 3* 0.5 *x = Sales

x(3.45) =Sales

For x =17 Sales =58.65
x=100 Sales= 345.00

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­You probably mean B, not C.
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Re: A magazine stand owner sells cups of coffee, newspapers, and packs [#permalink] New post   19 Mar 2024, 03:42
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IMO B

Ratio of C:G:N is 1:2:3

x(1.25)+2x(0.35)+3x(0.5) = Total Sales

Total sales = 3.45x

Since x need to be an integer, it is possible only in case of I & II­
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Rucha.Shukla
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A magazine stand owner sells cups of coffee, newspapers, and packs [#permalink] New post   19 Mar 2024, 03:43
[quote="Edoua"]Answer C

Pcoffee*Nc + Pgu* Ngu + Pnewsp*Nnews = Sales

For 1Nc we have 2Ngu and 3 Nnewsp
For 1Nc =x. Ngu = 2x and Nnewsp= 3x

1.25x + 2*0.35*x + 3* 0.5 *x = Sales

x(3.45) =Sales

For x =17 Sales =58.65
x=100 Sales= 345.00

Edoua


Which method did u use to figure out the 17 ?

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Re: A magazine stand owner sells cups of coffee, newspapers, and packs [#permalink] New post   20 Mar 2024, 00:11
Answer is B ( I + II only)

Cups of coffee (C) = x ; Total cost of coffee = (Cost of 1 cup) x (No. of cups) = 1.25x

Packs of gums (G) = 2 x C = 2x; Total cost of gums = (Cost of 1 pack) x (No. of packs) = 0.35 x 2x = 0.7x

Newspapers (N) = 3 x C = 3x; Total cost of gums = (Cost of 1 qty) x (No. of newspapers) = 0.5 x 3x = 1.5x

Total sales for the day = 1.25x + 0.7x + 1.5x = 3.45 x

Hence the total sales from the given options should be a multiple of 3.45 since 'x' is the count of cups of coffee and it has to be an integer.
Thus options I & II are divisible by 3.45 hence answer is B
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Re: A magazine stand owner sells cups of coffee, newspapers, and packs [#permalink]
20 Mar 2024, 00:11
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