Question

The tickets for a high school basketball game are $2.50 for students and $4.00 for adults. At Tuesday night's game, 95 tickets were sold for a total of $290.00. How many student tickets were sold?

Answer 1

S=# of students
A=# of adults
2.50S + 4.00A= 290
($2.50 times the number of students plus $4.00 times the number of adults equals the amount of money collected $290)
S + A = 95
Number of students tickets plus number of adults tickets equals number of tickets sold (95)
Subtract S from both sides of last equation to solve for A
A = 95 - S
Plug A into the first equation
2.5S + 4(95-S)=290
2.5S + 380 - 4S = 290
- 1.5 S + 380 = 290
-1.5 S = -90
S = 60
60 Student tickets were sold.

Answer 2

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