Question

Tickets to a Broadway show cost $45 for adults and $10 for children. The total receipts for 1500 tickets at one performance were $48,250. How many adult and how many childtickets were sold?Number of Adult tickets sold --Number of Children tickets sold -

Answer 1

Total for 1500 tickets= $48,250.

Cost adults= $45 x

Cost children= $10. or (x-35)

$\begin{gathered} 48,250=\text{ 45\lparen x\rparen+10\lparen1500-x\rparen} \\ 48.250=45x+15000\text{ - }10x \\ 48,250=\text{ }35x+15000 \\ 48,250\text{ -}15000=35x \\ 33250=\text{ 35x} \\ 950=\text{ x} \\ 950adults \\ Children=1500\text{ - }950=550 \end{gathered}$

Number of adult tickets sold= 950

Number of children tickets sold= 550.