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.

19.) 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. write a system of three equations that represents the prices of the clothing.

20. slove the system. find the cost of each item.

the price of one sweatshirt is $24

the price of one T-shirt is $8

the price of one pair of shorts is $12

Step-by-step 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

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