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%
seemed cumbersome in the beginning but on second attempt - i realized that i need to use the info in the way they have given it
let F% be discount rate on Fox and P% be discount rate on Pony
Then, F+P=22 ---equation 1
Also, 3(F%(15))+2(P%(18))=9 ----equation 2
equation 1 is just the sum of the two discount rates
equation 2 is discount rate on each item, multiplied by the number of items purchased = total amount of the discount
when I try to solve the two equations, through substitution or simultaneously, I get a weird answer.
can some one please tell me where I messed up?
(A) 9%
(B) 10%
(C) 11%
(D) 12%
(E) 15%
seemed cumbersome in the beginning but on second attempt - i realized that i need to use the info in the way they have given it
let F% be discount rate on Fox and P% be discount rate on Pony
Then, F+P=22 ---equation 1
Also, 3(F%(15))+2(P%(18))=9 ----equation 2
equation 1 is just the sum of the two discount rates
equation 2 is discount rate on each item, multiplied by the number of items purchased = total amount of the discount
when I try to solve the two equations, through substitution or simultaneously, I get a weird answer.
can some one please tell me where I messed up?
