Answer:
The Answer is: There are 34 child tickets and 102 adult tickets.
Explanation:
Let c = child number of tickets and a = adult number tickets.
The number of child tickets times $5.20 and the number of adult tickets times $8.50 is equal to $1,043.80. See equation below:
5.20c + 8.50a = $1,043.80
There are three times the number of adult tickets as child tickets. Equation below:
a = 3c
By substitution:
5.20c + 8.50a = 1043.80
5.20c + 8.50(3c) = 1043.80
5.20c + 25.50c = 1043.80
30.7c = 1043.80
c = 1043.80 / 30.7 = 34 child tickets.
Solve for adult tickets:
a = 3c
a = 3(34) = 102 adult tickets.
Proof:
5.20c + 8.50a = 1043.80
5.20(34) + 8.50(102) = 1043.80
176.80 + 867 = 1043.80
1043.80 = 1043.80