Question

There were 150 people at the Junior-Senior dance Sasha and her friends attended. Junior tickets were $2.00 each and Senior tickets were $3.50 each. The total receipts for the dance were $405. How many Juniors bought tickets?

Answer 1

Let x = number of junior
Let y = number of seniors
Then x + y = 150
Amount of money raised by selling x tickets to juniors: $2.00(x) = 2x
Amount of money raised by selling y tickets to seniors:: $3.50(y) = 3.5y
Total amount of money raised: 2x + 3.5y = 405

Solve the two equations simultaneously:
x + y = 150
2x + 3.5y = 405