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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.)

Respuesta :

t - original price of T-shirt
j - original price of jeans

Create and solve system of equations

[tex]2t+j=80 \\3t+2j=140 \\ \\j=80-2t \\3t+2(80-2t)=140 \\3t+160-4t=140 \\t=20 \\j=80-2t=80-2\times 20=40[/tex]
syed514
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