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# At a certain store, the price of a pair of shoes is twenty dollars mor

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Math Expert
Joined: 02 Sep 2009
Posts: 58421
At a certain store, the price of a pair of shoes is twenty dollars mor  [#permalink]

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03 Jan 2016, 12:24
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Difficulty:

25% (medium)

Question Stats:

81% (02:19) correct 19% (02:37) wrong based on 86 sessions

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At a certain store, the price of a pair of shoes is twenty dollars more than three times the price of a pair of jeans and the price of a sweater is fifty percent more than the price of a pair of shoes. If the price of a pair of jeans is j dollars at this store, then what is the price, in dollars, of a pair of shoes, a sweater and a pair of jeans, in terms of j ?

A. 1.5j + 10
B. 3j + 20
C. 4.5j + 30
D. 5.5j + 30
E. 8.5j + 50

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Intern
Joined: 30 Nov 2012
Posts: 2
Re: At a certain store, the price of a pair of shoes is twenty dollars mor  [#permalink]

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04 Jan 2016, 22:29
1
j - jeans, s - shoes, sw - sweater

j = j
s = 3*j + 20
sw = 1.5*s = 1.5*(3*j + 20)

Total price: s+j+sw = (3*j + 20) + (j) + (1.5*(3*j + 20)) = 8.5*J + 50
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Joined: 02 Jun 2015
Posts: 62
Location: United States
Concentration: Strategy, Human Resources
WE: Engineering (Manufacturing)
Re: At a certain store, the price of a pair of shoes is twenty dollars mor  [#permalink]

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05 Jan 2016, 14:22
Ans E

Given
Price of Jeans = J

Price of shoes = 20+3J
Price of Sweater = 1.5(20+3J)

Total Price of all three items = J+20+3J+1.5(20+3J) = 50+8.5J

Thank You

Bunuel wrote:
At a certain store, the price of a pair of shoes is twenty dollars more than three times the price of a pair of jeans and the price of a sweater is fifty percent more than the price of a pair of shoes. If the price of a pair of jeans is j dollars at this store, then what is the price, in dollars, of a pair of shoes, a sweater and a pair of jeans, in terms of j ?

A. 1.5j + 10
B. 3j + 20
C. 4.5j + 30
D. 5.5j + 30
E. 8.5j + 50
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9704
Location: Pune, India
Re: At a certain store, the price of a pair of shoes is twenty dollars mor  [#permalink]

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05 Jan 2016, 22:18
1
Bunuel wrote:
At a certain store, the price of a pair of shoes is twenty dollars more than three times the price of a pair of jeans and the price of a sweater is fifty percent more than the price of a pair of shoes. If the price of a pair of jeans is j dollars at this store, then what is the price, in dollars, of a pair of shoes, a sweater and a pair of jeans, in terms of j ?

A. 1.5j + 10
B. 3j + 20
C. 4.5j + 30
D. 5.5j + 30
E. 8.5j + 50

You can assume a value for j and solve it.
Say, j = 100 (price of a pair of jeans)
Price of a pair of shoes = 20 + 3*100 = 320
Price of a sweater = (3/2)*320 = 480
Price of all three items = 900

Putting j = 100, only (E) will give you 900.
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Re: At a certain store, the price of a pair of shoes is twenty dollars mor  [#permalink]

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17 Apr 2016, 00:43
price of jeans = j dollars
price of shoe - (3j +20 ) dollars
price of sweater = 1.5*(3j +20) dollars
Total price = 8.5j +50 dollars
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Joined: 09 Sep 2013
Posts: 13345
Re: At a certain store, the price of a pair of shoes is twenty dollars mor  [#permalink]

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04 Oct 2018, 11:52
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Re: At a certain store, the price of a pair of shoes is twenty dollars mor   [#permalink] 04 Oct 2018, 11:52
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