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?

Answer 1

We are given two pieces of information here:

• The price of a sweater is $5 less than twice the price of a shirt.
• Four shirts and three sweaters cost $275

We can express each of these terms mathematically, and use them together to solve the overall problem. First, we'll need some definitions:

Let s = "sweater"

let t = "shirt"

We're told then:

• s = 2t - 5
• 4t + 3s = 275

We can take those then, and eliminate with substitution. The first equation already handily gives us a definition of s relative to t, so let's plug that in to the second equation:

4t + 3s = 275

4t + 3(2t - 5) = 275

4t + 6t - 15 = 275

10t = 275 + 15

10t = 290

t = 29

So the cost of one shirt is 29$

We can then take that and plug it into one of the original equations to get the price of a sweater:

s = 2t - 5

s = 2(29) - 5

s = 58 - 5

s = 53

So we now know the price of both. To state them more formally:

• The cost of one shirt is ridiculous.
• The cost of one sweater is absolutely obscene.