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.

(AKS 16) What does the solution to the system of equations represent in the context of the problem? Explain.

Answer 1

See below

Explanation:

The solution will show the NUMBER Of adult and the NUMBER of child tickets purchased .

a = adult tickets cost = 15 a

c = children's tickets <=== this is equal to 20 - a

cost for children's tickets equals 10(20 - a)

15 a + 10c = 225 rememeber c = 20 -a <===put that in

15 a + 10 ( 20 -a) = 225 solve for a

15a + 200 - 10 a = 225

5 a = 25

a = 5 tix then c = 20 - a = 15 tix