SOLUTION: A movie theater has two ticket prices: $8.00 for adults and $5.00 for children. If the box office took in $4116 from the sale of 600 tickets, how many of each kind were sold?

Question 120540This question is from textbook Mathematical ideas
: A movie theater has two ticket prices: $8.00 for adults and $5.00 for children. If the box office took in $4116 from the sale of 600 tickets, how many of each kind were sold? This question is from textbook Mathematical ideas

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let's call the number of adult tickets, A, and the number of children's tickets, C.
1. The total number of tickets sold was 600.
2. The total value of adult tickets ($8xA) children's tickets ($5xC) was $4116.
Use equation 1 to solve for A in terms of C.
1.

Now substitute for A in equation 2 and solve for C.
2.

From 1,

372 Adult tickets sold and 228 children's tickets sold.
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