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Adult tickets to the fall play cost $6 and student tickets cost $3. The drama class sold 25 more student tickets than adult tickets to the fall play. If the class collected $660 from ticket sales, how many student tickets were sold?

Verified Answer :

Aliwohaish12

s = the number of student tickets sold

a = the number of adult tickets sold

The drama class sold 25 more student tickets than adult tickets to the fall play

s = a + 25

The class collected $660 from ticket sales:

6s + 3a = 660 divide both sides by 3

2s + a = 220

by solving the system of equations

s = a + 25

2s + a = 220

we find

s = 81.67 student tickets

a = 56.67 adult tickets

mols

The cost of 25 student tickets is $75. If we take this away from the total amount, we have an equal number of student and adult tickets making $585.
One child ticket plus one adult ticket is $9.

585/9= 65.

Checking this:

65x3=195
65x6=390

195+390+75= 660

Therefore, 90 student tickets were sold, since 65+25=90.

Hope this helps :)

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