SOLUTION: I cannot figure out how to get how many tickets were sold for each priced ticket. A basketball team sells tickets that cost $10, $20, or, for VIP seats, $30. The team has sold

Algebra.Com
Question 1077610: I cannot figure out how to get how many tickets were sold for each priced ticket.
A basketball team sells tickets that cost $10, $20, or, for VIP seats, $30. The team has sold 3343 tickets overall. It has sold 113 more $20 tickets than $10 tickets. The total sales for $62,350. How many tickets have been sold?
How many $10 tickets were sold?
How many $20 tickets were sold?
How many $30 tickets were sold?
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
x, how many $10 tickets
y, how many $20 tickets
z, how many $30 VIP tickets

Follow the description.


Three linear equations in three unknown variables, so solve the system.
You would want to simplify the sales equation to , and the second equation maybe as .

Work with THIS system:



One path to begin can be, add first and second equations to form a new equation; and add the second and third equations to form another new equation. This eliminates x, and your two new equations are in just the two variables, y and z.
RELATED QUESTIONS

Below is what I have so far: A basketball team sells tickets that cost $10, $20, or,... (answered by josgarithmetic,MathTherapy)
hello I cannot seem to figure out the answer to this word problem I don not know what I... (answered by josmiceli)
A basketball team sells tickets that cost $10, $20, and VIP seats for $30. The team has... (answered by MathTherapy)
A basketball team sells tickets that cost​ $10, $20,​ or, for VIP​... (answered by josgarithmetic,ikleyn,greenestamps)
A basketball team sells tickets that cost​ $10, $20,​ or, for VIP​... (answered by ankor@dixie-net.com,ikleyn,josgarithmetic)
At a college function, a total of 180 tickets were sold. The tickets were priced at $5,... (answered by mananth)
A community center sells ticket to a baseball game. Adult tickets are $5 each and... (answered by ewatrrr)
Hi. I've been having trouble with this equation. There's so many steps that I cannot even (answered by josgarithmetic)