A high school drama club is selling tickets for the spring production. One day the president sold 12 adult tickets and 5 child tickets for a total of $169. The next day the president sold 22 adult tickets and 10 child tickets for a total of $314. Let a represent the cost of one adult ticket. Let c represent the cost of one child ticket. Which system of equations will solve for a and c?

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eudora eudora · Answer 1 · 2019-05-17T13:28:40+02:00

Answer:

12a + 5c = 169

22a + 10c = 314

Step-by-step explanation:

A high school drama club is selling tickets for the spring production.

One day president sold 12 adult tickets and 5 child tickets for a total of $169.

Let cost of adult ticket is a and for child ticket c

Therefore, equation will be

12a + 5c = 169

Next day the president sold 22 adult tickets and 10 child tickets. so equation will be

22a + 10c = 314

so these are system of equations

lhmarianateixeira lhmarianateixeira · Answer 2 · 2022-02-08T13:02:43+01:00

In this exercise we have to use the knowledge of equations to assemble a system, in this way we have:

[tex]12a + 5c = 169\\22a + 10c = 314[/tex]

Organizing the information given in the statement, we have that:

One day president sold 12 adult tickets and 5 child tickets for a total of $169.

With this information we can call set up the equation as:

[tex]12a + 5c = 169\\22a + 10c = 314[/tex]

See more about system at brainly.com/question/7589753