Question: 48 of 63:

James purchased 2 T-shirts and a pair of jeans online and paid $80 for his purchase. The next week, the same site was offering a 50% discount on all its clothes. James bought 3 T-shirts and two pairs of jeans for $70. What were the original prices of T-shirts and jeans? (Assume that all T-shirts had the same original price, as did all pairs of jeans.)

Question

Question: 48 of 63: 

James purchased 2 T-shirts and a pair of jeans online and paid $80 for his purchase. The next week, the same site was offering a 50% discount on all its clothes. James bought 3 T-shirts and two pairs of jeans for $70. What were the original prices of T-shirts and jeans? (Assume that all T-shirts had the same original price, as did all pairs of jeans.)

anonymous · Answer

Select one of the options below as your answer:
 


A. 
T-shirt, $25; jeans, $30




B. 
T-shirt, $20; jeans, $30




C. 
T-shirt, $20; jeans, $40 




D. 
T-shirt, $25; jeans, $35

anonymous · Answer

Let price of T-shirt be T, price of jeans be J.

2T + J = 80 ---- (1)

After 50% discount,

3(0.5T) + 2(0.5J) = 70 ----- (2)

J = 80 - 2T (from 1)
sub J into 2

1.5T + 80 - 2T = 70
10 = 0.5T
T = 20

thus J = 80 - 2(20) = 40