Question

at the movie theater child admission is 650 and adult admission is 990 on Thursday 124 tickets were sold for a total sales of 999.80 how many adult tickets were sold that day

Answer 1

Answer: 57

Explanation:

First, create a system of equations using the cost as one equation and the quantity as the other.

Let c represent a child ticket and a represent an adult ticket, then

Cost Equation: 6.50c + 9.90a = 999.80

Quantity Equation: c + a = 124

I am going to use substitution method to solve by solving the Quantity Equation for c --> c = 124 - a

and substituting that c-value into the Cost Equation -->

6.50(124 - a) + 9.90a = 999.80

806 - 6.50a + 9.90a = 999.80

806 + 3.4a = 999.80

3.4a = 193.80

a = 57