Question

a movie theater sold 155 aldult tickets and 230 childrens tickets to a movie in total the theater made 1285.50 in ticket sales Mrs.ramierez. paid 53.75 for 2 adults and 3 children.

Answer 1

The question can be solved by solving a system of equation

Let the adult ticket be represented by a

Let the children ticket be represented by c

So from the first statement, we will have 155a + 230c = 1285.5 ----- equation 1

Also from the second statement, we have 2a + 3c = 53.75 ------ equation 2

We can solve two equation simultaneously using the elimination method

155a + 230c = 1285.5 x 2 (multiply equation 1 by 2)

2a + 3c = 53.75 x 155 (umultiply equation 2 by 155)

=> 310a + 460c = 2571 ---- equation 3

=> 310a + 465c = 8331.25 ---- equation 4

Subtract equation 3 from equation 4

465c - 460c = 8331.25 - 2571

5c = 5760.25