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 toal.

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 price of the clothing.​

Answer 1

The answer to your question is below

Explanation:

Equation 1

$sweatshirt = 2 pair of shorts

w = 2h

Equation 2

$t-shirt = $pair of shorts - $4

t = h - 4

Equation 3

Total cost = 3 sweatshirts + 2 pairs of shorts + 5 t-shirts

Total cost = 3w + 2h + 5t = 136

Answer 2

Answer: a system of three equations that represents the price of the clothing are

w = 2h

t = h - 4

3w + 5t + 2h = 136

Explanation:

Let w represent the price of one sweatshirt.

Let t represent the price of one T-shirt.

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. 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 of $136. This means that

3w + 5t + 2h = 136