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## 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.

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Math
18 mins
2021-09-13T12:58:44+00:00
2021-09-13T12:58:44+00:00 2 Answers
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## Answers ( )

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 dollarsAnswer:The cost of a sweatshirt is $24.The cost of a t shirt is $8The cost of shorts is $12Step-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.

….(2)

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 = 12t = h-4

t = 8w = 2h

w = 24———————————————————————————–So, the cost of a sweatshirt is $24.The cost of a t shirt is $8The cost of shorts is $12