word problems

Question

a dealer sold 200 tennis racquets. some were sold at $18 each, and the rest $33 each. the total receipts from these sales were $4800. how many of each racquets were sold?

Answer 1

Let x = number that sell for $18 each

Then, 200 - x = number that sell for $33 each

 

18x + 33(200 - x) = 4800

 

18x + 6600 - 33x = 4800

 

-15x = -1800

 

x = 120

 

There were 120 racquets selling for $18 each and 80 racquets selling for $33 each.