SOLUTION: What is the equation to solve this problem? The local fair sells tickets for both children and adults. The price of a child's ticket is 5$ and adult is 8$. 1050 people attended

Question 177460This question is from textbook
: What is the equation to solve this problem?
The local fair sells tickets for both children and adults. The price of a child's ticket is 5$ and adult is 8$. 1050 people attended and the fair made $7,350. How many of each type of ticket were sold? This question is from textbook

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
What is the equation to solve this problem?
The local fair sells tickets for both children and adults. The price of a child's ticket is 5$ and adult is 8$. 1050 people attended and the fair made $7,350. How many of each type of ticket were sold?
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Quantity Equation: c + a = 1050
Value Equation...:5c +8a = 7350
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Rearrange the equations:
5c + 5a = 5*1050
5c + 8a = 7350
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Subtract the 1st from the 2nd to solve for "a":
3a = 2100
a = 700 (# of adult tickets sold)
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Substitute to solve for "c":
c + 700 = 1050
c = 350 (# of child tickets sold)
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Cheers,
Stan H.
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