Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets costs $15 for adults and $10 for children under the age of 12. Write the system of equations and solve algebraically.

Question

Hunter Sandoval

Mathematics

14 June, 12:15

Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets costs $15 for adults and $10 for children under the age of 12. Write the system of equations and solve algebraically.

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Answers (1)

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Liana Owens · Answer 1

C = 15

Step-by-step explanation:

Let A = # of adults and C = # of children.

A + C = 20

15A + 10C = 225

There are several ways to solve this system; here is one of them.

From the first equation: C = 20 - A

Substitute into the second equation: 15A + 10 (20 - A) = 225

Multiply, collect terms, and subtract 200 from each side: 5A = 25 = > A = 5

Since C = 20 - A, C = 15