Arunning store offers a 15% discount on
buying 2 pairs of running shoes. jane buys two
pair of shoes that each cost the same and paid a
total bill of $110.50, after the discount. what
was the cost of each pair of shoes before the
discount?

The cost of each pair of shoes before the discount=$67.65

Step-by-step explanation:

Step 1

Use the expression below to determine original cost of the 2 pairs of shoes as follows;

A=O-R

where;

A=total bill after discount

O=original cost of 2 pairs of shoe

R=discount amount

In our case;

A=$110.50

O=unknown=x

R=15% of O=(15/100)×x=0.15 x

replacing;

115=x-0.15 x

115=0.85 x

x=115/0.85

x=135.294

Original cost of the 2 pairs of shoes=$135.294

Original cost of a pair of shoes=135.294/2=$67.65

The cost of each pair of shoes before the discount=$67.65