Question

The juniors sold the student tickets for $3 and the adult tickets for $8. Use s to represent the number of student tickets that were sold and a to

represent the number of adult tickets that were sold. In total, 300 tickets were sold and $985 was collected. Write a system of equations to
determine the number of tickets they sold at each price and solve your system of equations. Be sure to define your variables.

Answer 1

3s + 8a = 985

s + a = 300

Explanation:

The first equation is calculating how many tickets were sold total

The second equation is calculating how many tickets either s (students) or a (adults) sold.

Solve for either s or a from the second equation

s = 300 - a

Substitute the value found previously into the first equation

3 (300 - a) + 8a = 985

Solve for the variable

900 - 3a + 8a = 985

900 + 5a = 985

5a = 985 - 900

5a = 85

a = 17 tickets

(now you have found how many adult tickets were sold)

Plug in the value in to the second equation to find the other variable

s + 17 = 300

s = 300 - 17

s = 277 tickets

Hope this helped!