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.

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!! :)

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

step-by-step explanation: examine the two-step equation.

−  

7

4

+  

x

4

= 2

which property of operations allows you to add the same constant term to both sides?

multiplication property of equality

division property of equality

addition property of equality

subtraction property of equality