Question

At the city Museum child omission is $5.70 and adult admission is $9.80. On Tuesday 124 tickets were sold for a total sales of $936. How many child tickets were sold that day

Answer 1

Answer: 68 child tickets were sold

Step-by-step explanation:

Let x represent the number of child tickets that were sold that day.

Let y represent the number of adult tickets that were sold that day.

A total of 124 tickets were sold on Tuesday. This means that

x + y = 124

At the city Museum child admission is $5.70 and adult admission is $9.80. The total sales from tickets was $936. This means that

5.7x + 9.8y = 936 - - - - - - - - -1

Substituting x = 124 - y into equation 1, it becomes

5.7(124 - y) + 9.8y = 936

706.8 - 5.7y + 9.8y = 936

- 5.7y + 9.8y = 936 - 706.8

4.1y = 229.2

y = 229.2/4.1

y = 55.9

y = 56

x = 124 - y = 124 - 56

x = 68