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Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell
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22 Nov 2022, 05:52
22 Nov 2022, 05:52
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Question Stats:
50% (02:17) correct
50% (02:40) wrong based on 2 sessions
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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%
(A) 9%
(B) 10%
(C) 11%
(D) 12%
(E) 15%
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Re: Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell
[#permalink]
22 Nov 2022, 14:23
22 Nov 2022, 14:23
This one was tough.
Let x = % discount of Fox jeans
Let y = % discount of Pony jeans
x + y = 0.22
Since we are looking for the % discount of Pony jeans, let's solve for x in terms of y:
x = 0.22 - y
Now, we are told that the total discount for 3 pairs of Fox jeans originally costing $15 each and 2 pairs of Pony jeans with original price of $15 is $9. Given that information, we can write this equation:
3(15)x + 2(18)y = 9
Substitute and solve:
45(0.22-y) + 36y = 9
9.9 - 45y + 36y = 9
-9y = -0.9
y = 0.1 -----> 10% ====> Answer Choice B
Hope this helps!
Let x = % discount of Fox jeans
Let y = % discount of Pony jeans
x + y = 0.22
Since we are looking for the % discount of Pony jeans, let's solve for x in terms of y:
x = 0.22 - y
Now, we are told that the total discount for 3 pairs of Fox jeans originally costing $15 each and 2 pairs of Pony jeans with original price of $15 is $9. Given that information, we can write this equation:
3(15)x + 2(18)y = 9
Substitute and solve:
45(0.22-y) + 36y = 9
9.9 - 45y + 36y = 9
-9y = -0.9
y = 0.1 -----> 10% ====> Answer Choice B
Hope this helps!
gmatclubot
Re: Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell [#permalink]
22 Nov 2022, 14:23
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