Answer:the price of one sweatshirt is $24
the price of one T-shirt is $8
the price of one pair of shorts is $12
Explanation:
Let w represent the price of one sweatshirt, t represent the price of one T-shirt, and h represent the price of one pair of shorts.
The price of a sweatshirt at a local shop is twice the price of a pair of shorts. This means that
w = 2h
The price of a T-shirt at the shop is $4 less than the price of a pair of shorts. This means that
t = h - 4
Brad purchased 3 sweatshirts, 2 pairs of shorts, and 5 T-shirts for a total cost of $136. This means that
3w + 5t + 2h = 136 - - -- - - - - - - 1
Substituting w = 2h and t = h - 4 into equation 1, it becomes
3 × 2h + 5(h - 4) + 2h = 136
6h + 5h - 20 + 2h = 136
13h - 20 = 136
13h = 136 + 20 = 156
h = 156/13 = $12
w = 2h = 2 × 12 = $24
t = h - 4 = 12 - 4 = $8