Adealer sold 200 tennis racquets. some were sold for $33 each and the rest were sold for $18 each. the total receipts from those sales were $4,800. how many racquets did the dealer sell at $18?

the number of tennis racquets that were sold for $33 each is 80

the number of tennis racquets that were sold for $18 each is 120

Step-by-step explanation:

Let x represent the number of tennis racquets that were sold for $33 each.

Let y represent the number of tennis racquets that were sold for $18 each

The total number of tennis racquets sold by the dealer is 200. Therefore,

x + y = 200

The total receipts from those sales were $4,800.

This means that

33x + 18y = 4800 - - - - - -- - - - 1

Substituting x = 200 - y into equation 1, it becomes

33(200 - y) + 18y = 4800

6600 - 33y + 18y = 4800

- 33y + 18y = 4800 - 6600

- 15y = - 1800

y = - 1800/-15

y = 120

x = 200 - y = 200 - 120

x = 80