Question

At a concert, 15 adult’s tickets and ten children’s tickets cost $950.00, and 10 adult’s tickets and 15 children’s tickets cost $800.00. What is the cost of one adult’s ticket and one child’s ticket?

a) $50, $25
b) $25, $50
c) $30, $20
d) $20, $30

Answer 1

To find the cost of one adult's ticket and one child's ticket, set up a system of equations using the given information and solve for the values of A and C. The cost of one adult's ticket is $30 and the cost of one child's ticket is $20.

Step-by-step explanation:

To find the cost of one adult's ticket and one child's ticket, we can set up a system of equations using the given information. Let's assume the cost of one adult's ticket is A dollars and the cost of one child's ticket is C dollars.

From the first scenario, we have 15A + 10C = 950. From the second scenario, we have 10A + 15C = 800. We can solve this system of equations to find the values of A and C.

Solving this system of equations, we find that A = $30 and C = $20. Therefore, the cost of one adult's ticket is $30 and the cost of one child's ticket is $20. Therefore, the answer is option c) $30, $20.