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=\frac{335-4c}{7}=\frac{335}{7}-\frac{4c}{7}$$\frac{335}{7}-\frac{4c}{7}+c=65$$\frac{3c}{7}=65-\frac{335}{7}$$c=\frac{7}{3}\cdot(65-\frac{335}{7})$$c=\frac{7}{3}\cdot\frac{120}{7}=40$$a+40=65$$a=65-40=25$