There were 600 people at a play. The admission price was $\$ 2$ for adults and $\$ 1$ for children. The admission receipts were $\$ 920$. How many adults and how many children attended?
A) 280 adults and 320 children
B) 320 adults and 280 children
C) 140 adults and 460 children
D) 230 adults and 370 children

Question

Quizplus · Accepted Answer

Let the number of adults be $a$ and the number of children be $c$. We have two equations: $a + c = 600$ (total number of people) and $2a + c = 920$ (total admission receipts). Solving these equations simultaneously gives $a = 320$ and $c = 280$.

There Were 600 People at a Play $2\$ 2$2 For Adults And

There Were 600 People at a Play $\$ 2$ For Adults And