Question

At a certain theater 4 adult tickets and 2 children's tickets cost

$36.50. Three adult tickets and 5 children's tickets cost $38.75. Which
system of equations could be used to determine the cost of one adult
ticket, a, and one child's ticket, c?
A. 4a +2c= 36.50
3a + 5c = 38.75
B. 7a+ 7 = 14
a+b= 75.2
C. 7a = 36.50
5a + 7c = 38.75
D. 4a + 2c = 38.75
За + 5c = 36.50




And how much is an adult ticket?how much is an child ticket?

Answer 1

A

Explanation:

if a = amount of adult tickets and c = amount of children's tickets

4 adult tickets plus 2 children's tickets equals $36.50

4a + 2c = 36.50

Also, 3 adult tickets and 5 children's tickets equals $38.75

3a + 5c = 38.75