Number of adult tickets that were sold that day is 54.
Given,
Cost of child ticket = $5.20
Cost of adult ticket = $8.70
Total sales of tickets = $885.80
Let the number of child tickets sold on that day be x
Let the number of adult tickets sold on that day be y
Total number of tickets sold on that day = 134
Using the above data, we can draw relations between the given variables and make two equations. Solving the two equations for the two variables will give the answer.
Eq 1 :
5.20x + 8.70y = 885.80
Eq 2 :
x + y = 134
These two equations can be solved using the elimination method.
Multiply Eq 2 with 8.70.
=> 8.70x + 8.70y = 1165.8 - Eq 3
Substract Eq 3 from Eq1 to eliminate the variable y and find the value of variable x
5.20x + 8.70y = 885.80
- 8.70x - 8.70y = - 1165.8
______________________
- 3.5x + 0 = -280
=> 3.5x = 280
=> x = 80
Substituting the value of x in Eq 2
=> x + y = 134
=> 80 + y = 134
=> y = 134 - 80
=> y = 54
Therefore, we get the number of child tickets and adult tickets sold that day as 80 and 54, respectively.
Learn more about Elimination Method here:
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