Problema Solution

The cost for tickets to see a play are shown in the table.

-The table shows that an adult ticket is $15 and a student ticket is $12.

A group of 11 adults and students bought tickets for the play. If the total cost was $156, how many of each type of ticket did they buy?

Answer provided by our tutors

let


x = the number of adult tickets

y = the number of student tickets


group of 11 adults and students bought tickets for the play


x + y = 11


the total cost was $156


15x + 12y = 156


by solving the system of equations


x + y = 11

15x + 12y = 156


we find


x = 8 adult tickets


y = 3 student tickets


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they bought 8 adult and 3 student tickets.