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On Wednesday, a restaurant sold a quantity of wine in 6 ounce servings

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Bunuel
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On Wednesday, a restaurant sold a quantity of wine in 6 ounce servings [#permalink] New post   14 Aug 2019, 00:11
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On Wednesday, a restaurant sold a quantity of wine in 6 ounce servings, and on Thursday, it sold the same total quantity of wine in 4 ounce servings. If the price on Wednesday was $9.00 per glass, and the revenue on Thursday was 3/4 that of the revenue on Wednesday, what was the price per glass of the wine on Thursday?

A. $4.00
B. $4.50
C. $6.00
D. $6.75
E. $10.13
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Re: On Wednesday, a restaurant sold a quantity of wine in 6 ounce servings [#permalink] New post   14 Aug 2019, 04:28
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Bunuel wrote:
On Wednesday, a restaurant sold a quantity of wine in 6 ounce servings, and on Thursday, it sold the same total quantity of wine in 4 ounce servings. If the price on Wednesday was $9.00 per glass, and the revenue on Thursday was 3/4 that of the revenue on Wednesday, what was the price per glass of the wine on Thursday?

A. $4.00
B. $4.50
C. $6.00
D. $6.75
E. $10.13


cost for tuesday ; 9/6 $
so wednesday cost ; 9/6 * 3/4 * 4 ; 4.5
IMO B
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Re: On Wednesday, a restaurant sold a quantity of wine in 6 ounce servings [#permalink] New post   18 Aug 2019, 19:24
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Bunuel wrote:
On Wednesday, a restaurant sold a quantity of wine in 6 ounce servings, and on Thursday, it sold the same total quantity of wine in 4 ounce servings. If the price on Wednesday was $9.00 per glass, and the revenue on Thursday was 3/4 that of the revenue on Wednesday, what was the price per glass of the wine on Thursday?

A. $4.00
B. $4.50
C. $6.00
D. $6.75
E. $10.13


We can let the total quantity of wine sold be 24 ounces, so the revenue on Wednesday is 24/6 x 9 = 4 x 9 = $36. So the revenue on Thursday is 3/4 x 36 = $27. Since 24/4 = 6 glasses were sold on Thursday, the price per glass of wine on Thursday is 27/6 = $4.50.

Answer: B
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Re: On Wednesday, a restaurant sold a quantity of wine in 6 ounce servings [#permalink] New post   18 Aug 2019, 22:04
An easy way to solve this question
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Re: On Wednesday, a restaurant sold a quantity of wine in 6 ounce servings [#permalink] New post   04 Oct 2019, 02:53
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Bunuel wrote:
On Wednesday, a restaurant sold a quantity of wine in 6 ounce servings, and on Thursday, it sold the same total quantity of wine in 4 ounce servings. If the price on Wednesday was $9.00 per glass, and the revenue on Thursday was 3/4 that of the revenue on Wednesday, what was the price per glass of the wine on Thursday?

A. $4.00
B. $4.50
C. $6.00
D. $6.75
E. $10.13


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Re: On Wednesday, a restaurant sold a quantity of wine in 6 ounce servings [#permalink] New post   26 Jan 2020, 13:38
Bunuel wrote:
On Wednesday, a restaurant sold a quantity of wine in 6 ounce servings, and on Thursday, it sold the same total quantity of wine in 4 ounce servings. If the price on Wednesday was $9.00 per glass, and the revenue on Thursday was 3/4 that of the revenue on Wednesday, what was the price per glass of the wine on Thursday?

A. $4.00
B. $4.50
C. $6.00
D. $6.75
E. $10.13


"same total quantity of wine": 6a=4b, a=2/3b
"revenue": xb=3/4(9a), xb=3/4(9*2/3b), x=3/4*9*2/3=9/2=4.5

Ans (B)
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Re: On Wednesday, a restaurant sold a quantity of wine in 6 ounce servings [#permalink]
26 Jan 2020, 13:38
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