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# Fox jeans regularly sell for \$15 a pair and Pony jeans

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Manager
Joined: 11 Nov 2004
Posts: 69
Fox jeans regularly sell for \$15 a pair and Pony jeans [#permalink]

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09 Jan 2005, 16:23
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Fox jeans regularly sell for \$15 a pair and Pony jeans regularly sell for \$18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of \$9 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 22 percent, what is the discount rate on Pony jeans?

(A) 9%

(B) 10%

(C) 11%

(D) 12%

(E) 15%
Manager
Joined: 11 Nov 2004
Posts: 69

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09 Jan 2005, 18:35
rxs0005 wrote:
Discount for pony Jeans is 10%

Manager
Joined: 31 Aug 2004
Posts: 161

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09 Jan 2005, 22:33
Let the discount of Fox jean = x
Let the discount of Pony jean = y

3(15x)+2(18y)=9 this is the total save from the puchase of 3 Fox jeans & 2 Pony jeans

x+y=0.22

From the 1st equation, we get 45x+36y=9, divide both size by 9 we get 5x+4y=1

Multiply the 2nd equation by 5, we get 5x+5y=1.1

Substract 1st equation from 2nd equation we get x=0.12, y=0.1

So the discount for the Pony jean is 10%

Correct me there is any mistake.
Manager
Joined: 11 Nov 2004
Posts: 69

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10 Jan 2005, 08:44
your explanation is ok,I got the same reasoning...
Manager
Joined: 01 Jan 2005
Posts: 163
Location: NJ

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10 Jan 2005, 13:59
Yup, the discount for poly jeans is 10%. Answer is 'B'.

We form two equations

x+y=22
45x + 36y = 900

Solve them.
10 Jan 2005, 13:59
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