There were 510 people at a play. The admission price was $3.00 for adults and $1.00 for children. The admission receipts were $930. How many adults and children attended?
A)232 adults and 278 children
B)150 adults and 360 children
C)210 adults and 300 children
D)300 adults and 210 children

Question

Quizplus · Accepted Answer

Let the number of adults be A and the number of children be C. We have two equations: A + C = 510 (total number of people) and 3A + C = 930 (total admission receipts, with adults paying $3 and children $1). Solving these equations simultaneously gives us A = 210 and C = 300.

There Were 510 People at a Play