A theater sells adult tickets and student tickets. A total of 120 tickets are sold and the ratio of adult tickets sold to student tickets sold is 6 to 4. How many of each type of ticket are sold?

Answer 1

The ratio of adult to total for the information given would be:

6 (adult)

10 (total)

We can now create a pair of equivalent ratios to determine the number of adult tickets for 120 total tickets:

6 adult = x

10 total 120 total

We can multiply the numerator and denominator by 12 to determine the number of adults out of the 120 total:

6 adult • 12 = x

10 total • 12 120 total

x = 72 adult tickets

The number of student tickets would be 120 - 72 = 48 student tickets