Question

Tickets for the play cost $5 for adults and $3 for students. A total of 246 tickets worth $954 were sold. How many student tickets were sold?

Answer 1

138 student tickets were sold

Answer 2

Total tickets = 246

Price of tickets = $5 and $ 3

Total worth = $954

.

Assumed all student tickets:

246 x $3 = $738

.

Find the excess in the worth:

954 - 738 = $216

The excess worth must have come from the sales of adult tickets

.

Find the number of adult tickets sold:

Difference in the worth of the 2 tickets = $5 - $3 = $2

Number of adult tickets = 216 ÷ 2 = 108 tickets

.

Find the number of student tickets:

246 - 108 = 138 tickets

.

Answer: There are 138 student tickets sold and 108 adult tickets sold.

*Check: 138 x 3 + 108 x 5 = $954