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

$\frac{5s}{5}=\frac{325}{5}\rightarrow s=65$

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.