## 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 t Question 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 $136. 1. Let w represent the price of one sweatshirt, t represent the price of one Tshirt, and h represent the price of one pair of shorts. Write a system of three equations that represents the prices of the clothing. 2. Solve the system. Find the cost of each item. in progress 0 18 mins 2021-09-13T12:58:44+00:00 2 Answers 0 ## Answers ( ) 1. Answer: The cost of sweatshirt is 12$

Step-by-step explanation:

so we are going to make 3 equations and solve it using the substation method

First- We know the price of the shirt is two times more so w = 2h

Second we know that the the tee shirt is 4 dollars less then the pair of shoes so t = h − 4

Third we take the combined of Brads purchases 3w + 5t + 2h =136

w = 2h

t = h − 4

3w + 2h + 5t = 136

So to solve we are going to to the sub method

3(2h) + 2h + 5(h-4) = 136 – just re written, now we get rid of the ( )

6h + 2h + 5h -20 = 136 – Now we need to move the -20 and add it too 136

6h + 2h + 5h = 156 – Now sum up the H’s

13h = 156 – Now divide 13 by 156

h= 12

so the Cost of a sweatshirt is 12 dollars

The cost of a sweatshirt is $24. The cost of a t shirt is$8
The cost of shorts is $12 ## Step-by-step explanation: Let w represent the price of one sweatshirt Let t represent the price of one Tshirt Let 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. …(1) 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. …..(3) Substituting the values of w and t in (3) => => => h = 12 t = h-4 t = 8 w = 2h w = 24 ———————————————————————————– So, the cost of a sweatshirt is$24.
The cost of a t shirt is $8 The cost of shorts is$12