Question

The manager of a movie theater found that Saturday's sales were $335. He knew that a total of 65 tickets were sold. Adult tickets, a, cost $7, and childtickets, c, cost $4.The system of equations shown can be used to represent the situation.a+c=657a +4c335How many child tickets were sold? Enter your answer in the box provided. (Numbers Only)child tickets

Answer 1

`a+c=65`
`7a+4c=335`
`a=(335-4c)/(7)=(335)/(7)-(4c)/(7)`
`(335)/(7)-(4c)/(7)+c=65`
`(3c)/(7)=65-(335)/(7)`
`c=(7)/(3)\cdot(65-(335)/(7))`
`c=(7)/(3)\cdot(120)/(7)=40`
`a+40=65`
`a=65-40=25`