Question

Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12.
Write a system of equations to represent the given scenario. Use the variables “a” for adults and “c” for children.
Then, solve the system of equations algebraically. Show your work.
Explain what the solution to the system of equations represents in the context of the problem.

Answer 1

Answer:

(20-C)15+10C=225

Step-by-step explanation:

20 TICKETS

Adults = (20 - the number of children) x $12

(20-C)15+10C=225

300 - 15C + 10C = $225

300 - 5C = 225

-5C = -75

C= 15

A = 5

Children 15 x $10 = $150

Adults 5 x $15 = $75

$150 + $75 = $225