the price of a sweatshirt at a local shop is twice the price of a pair of shorts. The price of a t-shirt at the shop is $4 less than the price of a pair of shorts. Brad purchased 3 sweatshirts, 2 pairs of shorts, and 5 t-shirts for a total cost of $136

sweatshirts (x) = $24, shorts (y) = $12, t-shirts (z) = $8

Step-by-step explanation:

x = sweatshirts : y = shorts : z = t-shirts

price of sweatshirt is twice the price of shorts

x = 2y

price of t-shirt is 4 less the price of shorts

z = y - 4

purchased 3 sweatshirts, 2 shorts, and 5 t-shirts for 136

3x + 2y + 5z = 136

now we sub the first two equations into the 3rd one

3x + 2y + 5z = 136

3 (2y) + 2y + 5 (y - 4) = 136

6y + 2y + 5y - 20 = 136

13y = 156

y = 156/13

y = 12

x = 2y ... 2 (12) = 24

z = y - 4 ... 12 - 4 = 8

check ...

3x + 2y + 5z = 136

3 (24) + 2 (12) + + 5 (8) = 136

72 + 24 + 40 = 136

136 = 136 (correct)