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Brainliest!!! plz help

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. Solve the system. Find the cost of each item.

Respuesta :

upandover

19.

w = 2 x h

t = h - 4

3w + 2h + 5t = 136

20.

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

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

13h = 156

h = 12

Cost of sweatshirt = $24

Cost of t-shirt = $8

Cost of one pair of shorts = $12

Hope this helps!! :)

amna04352

Answer:

19)

w = 2h

t = h - 4

3w + 2h + 5t = 136

20)

w = $24

t = $8

h = $12

Step-by-step explanation:

w = 2h

t = h - 4

3w + 2h + 5t = 136

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

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

13h = 156

h = 12

t = 12 - 4 = 8

w = 2(12) = 24

w = 2t

t = w - 4

w = 2(w - 4)

w = 2w - 8

w = 8

2t = 8

t = 4

Verification:

3(8) + 5(4) = 54

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