Question

3. In August, Cory begins school shopping for his triplet daughters. One day, he

bought 10 pairs of socks for $2.50 each and 3 pairs of shoes for d dollars each.
He spent a total of $135.97. Write an algebraic equation that represents the
situation.

Answer 1

`25+3d=135.97`

`d=\$36.99`

Explanation:

Let

d ----> the cost of each pair of shoes

we know that

The number of socks multiplied by it cost plus the number of pairs of shoes multiplied by it cost must be equal to $135.97

so

The linear equation that represent this situation is

`10(2.50)+3(d)=135.97`

`25+3d=135.97`

Solve for d

subtract 25 both sides

`3d=135.97-25`

`3d=110.97`

divide by 3 both sides

`d=\$36.99`

The cost of each pair of shoe is $36.99