Question

- The total for 2 pairs of shoes and 3 coats is $370.A coat costs $15 more than the cost of a pair ofshoes. Write an equation to represent thissituation.hat is the cost of the coat?hat is the cost of a pair of shoes?

Answer 1

We need to express each sentence as an equation.

"The total for 2 pairs of shoes and 3 coats is $370" is expressed as

`2s+3c=370`

"A coat costs $15 more than the cost of a pair of shoes" is expressed as

`c=15+s`

Now, we replace the second equation into the first one

`2s+3(15+s)=370`

Then, we solve for s

`2s+45+3s=370\rightarrow5s=370-45\rightarrow5s=325`

We divide the equation by 5

`(5s)/(5)=(325)/(5)\rightarrow s=65`

This means each pair of shoes cost $65.

Now, with this value, we find the cost of a coat.

`c=15+s=15+65=80`

Therefore, each coat costs $80.