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Karla is selling tickets for a high school play. Child tickets cost $7 and adult tickets cost $13 she sells 180 tickets and collects $1830 Setup a system of equations using C for number of child tickets and A for number of adult tickets to find the number of each ticket sold

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JeanaShupp

Answer: The number of child tickets is 85 and the number of adult tickets is 95.

Step-by-step explanation:

Let C = Number of child tickets

A = Number of adult tickets.

As per given, we have

C+A=180          (i)

7C+13A=1830           (ii)

Multiply 7 to both sides of equation (ii), we get

7C+7A=1260     (iii)

Eliminate (iii) from (ii) , we get

[tex]6A=570\\\\\Rightarrow\ A=95[/tex]

Put value of y in (i), we get

C= 85

Hence, the number of child tickets is 85 and the number of adult tickets is 95.

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