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# During the first week in May, a shoe retailer sold 12 pairs of shoes

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Math Expert
Joined: 02 Sep 2009
Posts: 49858
During the first week in May, a shoe retailer sold 12 pairs of shoes  [#permalink]

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25 Dec 2017, 01:34
1
00:00

Difficulty:

25% (medium)

Question Stats:

82% (01:41) correct 18% (02:35) wrong based on 15 sessions

During the first week in May, a shoe retailer sold 12 pairs of shoes for average (arithmetic mean) of x dollars per pair. During the next week, the retailer sold 15 pairs at an average of $20 less than the week before. What is the difference in total revenue from the first week to the second week in terms of x? A. 100 – x B. 200 – 2x C. 240 – 2x D. 270 – x E. 300 – 3x _________________ Manager Joined: 23 Feb 2017 Posts: 59 Re: During the first week in May, a shoe retailer sold 12 pairs of shoes [#permalink] ### Show Tags 25 Dec 2017, 10:20 3 1 Average price of 12 pairs for first week = x$
Total revenue from first week = 12x $Average price of 15 pairs for second week = (x-20)$
Total revenue from second week = 15(x-20) $Difference b/w first week revenue and second week = 12x - 15(x-20) = 300-3x Answer: E _________________ +1 Kudos if you find it helpful. Manager Joined: 24 Nov 2016 Posts: 152 Re: During the first week in May, a shoe retailer sold 12 pairs of shoes [#permalink] ### Show Tags 25 Dec 2017, 17:31 Bunuel wrote: During the first week in May, a shoe retailer sold 12 pairs of shoes for average (arithmetic mean) of x dollars per pair. During the next week, the retailer sold 15 pairs at an average of$20 less than the week before. What is the difference in total revenue from the first week to the second week in terms of x?

A. 100 – x
B. 200 – 2x
C. 240 – 2x
D. 270 – x
E. 300 – 3x

$$Revenue=Quantity*AveragePrice$$

Week 1: $$Revenue=Quantity*AveragePrice=12*x=12x$$
Week 2: $$Revenue=Quantity*AveragePrice=15*(x-20)=15x-300$$

Difference between Week 1 and Week 2: $$12x-(15x-300)=12x-15x+300=-3x+300=300-3x$$

Re: During the first week in May, a shoe retailer sold 12 pairs of shoes &nbs [#permalink] 25 Dec 2017, 17:31
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