SOLUTION: Ben sold some adult tickets & some student tickets for a basketball game. Each adult ticket cost $5 Each student ticket cost $3 Ben collected $180 for the 50 tickets he sold.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Ben sold some adult tickets & some student tickets for a basketball game. Each adult ticket cost $5 Each student ticket cost $3 Ben collected $180 for the 50 tickets he sold.       Log On


   

Question 28880: Ben sold some adult tickets & some student tickets for a basketball game.
Each adult ticket cost $5
Each student ticket cost $3
Ben collected $180 for the 50 tickets he sold.
1. How many adult tickets did he sell?
2. How many student tickets did he sell?
Show all your work. Explain in words how you found your answer. Tell why you took the steps you did to solve the problems
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Let the adult ticket bve x
Let the childern ticket be y
total tickets sold = 50
x+y=50
solve for y
y=50-x (subsitution)

Cost for adults tickets = $5 so tickets sold for adults -->5x
Cost for childern tickets = $3 so tickets sold for childern = 3y
TOtal cost = $180


Equation:
5x+3y=180
Subsitute
5x+3(50-x)=180
5x+150-3x=180
2x=30
x=15

y=50-15
y=35

Hence, anout 15 adult tickets were sold and about 35 childern tickets were sold.
Paul.