## The price of a sweater is \$5 less than twice the price of a shirt. If four shirts and three sweaters cost \$275, find the p

Question

The price of a sweater is \$5 less than
twice the price of a shirt. If four shirts
and three sweaters cost \$275, find the
price of each shirt and each sweater.
Can someone solve this whole thing not just the answers?

in progress 0
4 weeks 2021-09-14T11:17:58+00:00 1 Answer 0

1. Answer: Each shirt is \$29 while each sweater is \$53.

Step-by-step explanation: The first step is to identify the clues in the question. Let each shirt be represented by letter ‘h’ and each sweater be represented by letter ‘w.’

If the cost of a sweater is 5 less than twice the price of a shirt, then the price of a sweater can be expressed as,

2h -5.

So we have

w = 2h – 5 ———(1)

If four shirts and three sweaters cost \$275, we then have the expression,

4h + 3w = 275 ———(2)

Substitute for the value of w into equation (2)

4h + 3(2h – 5) = 275

4h + 6h – 15 = 275

10h – 15 = 275

Add 15 to both sides of the equation

10h = 290

Divide both sides of the equation by 10

h = 29.

Having calculated the value of h, we now substitute for the value of h into equation (1)

w = 2h – 5

w = 2(29) – 5

w = 58 – 5

w = 53

Therefore each shirt costs \$29 while each sweater costs \$53.