Question

A particular shoe store stocks two styles of walking shoes. Style A sells for $66.95 and Style B sells for $84.95. At the end of the week, sales totaled in $17,652. The number of Style A shoes sold was twenty-four less than twice the number of Style B shoes sold. how many of each type or so that week?

Answer 1

Style A shoes sold : 152

Style B shoes sold : 88

Explanation:

Let :

• Style A shoes = x
• Style B shoes = y

Forming equations :

1. x = 2y - 24
2. 66.95x + 84.95y = 17,652

Substitute the value of x from 1 in 2.

• 66.95 (2y - 24) + 84.95y = 17,652
• 133.90y - 1606.80 + 84.95y = 17,652
• 218.85y = 19258.80
• y = 88

Finding x :

• x = 2(88) - 24
• x = 176 - 24
• x = 152

Solution :

• Style A shoes sold : 152
• Style B shoes sold : 88