Question

In a shop, a clerk sold 60 pairs of shoes. The high-tops are sold for $98.99, and the low-tops are sold for $129.99. If the sales of both the types are totalled as $6,404.40, then find the number of sales in each type of shoe?

Answer 1

Let x = number of high-tops and y = number of low-tops. Then
x + y = 60
98.99x + 129.99y = 6404.40

Substitute y = 60 − x into the second:
98.99x + 129.99(60 − x) = 6404.40
−31x + 7799.40 = 6404.40
−31x = −1395 → x = 45

So y = 60 − 45 = 15.

Answer: 45 high-tops and 15 low-tops.