Question

A total of 202 tickets were sold for a theatre showing. If child tickets cost $6 and adult tickets cost $10, how many tickets of each were sold if the theatre earned a total of $1708.

Answer 1

167 adult tickets were sold

35 children tickets were sold

Explanation:

Let the number of adult tickets be x

Let the number of children tickets be y

Total number of each ticket sold;

x + y = 202 equation 1

Total cost of the tickets

10x + 6y = 1708 equation 2

Let

x= 202 - y equation 3

Substitute 3 into 2

10(202 - y) + y = 1708

2020 - 10y + y = 1708

-9y = 1708 - 2020

-9y = -312

y= 35

Substitute y =35 into 1

x + 35 =202

x= 202 - 35

x= 167

Therefore;

167 adult tickets were sold

35 children tickets were sold