Question

at a movie theater a cashier sold 250 more adult admission tickets than children admission tickets. The adults were $6.00 each and the childrens tickets were $3.50 each. what is the least number of adult tickets that the cashier has to sell for the total receipts of $2750?

Answer 1

Let a = # of adult tickets sold
Let c = # of children's tickets sold
250 + c = a
c + 250 + c = 2c + 250 = 2750
2c = 2500
c = 1250
a = 1250 + 250 = 1500
Least number of adult tickets that the cashier needs to sell for the receipts to be $2750 is 1500.