SOLUTION: At a benefit concert, 1200 tickets were sold and $3300 was raised. If there were $2 and $5 tickets, how many of each were sold?

Question 777635: At a benefit concert, 1200 tickets were sold and $3300 was raised. If there were $2 and $5 tickets, how many of each were sold?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
At a benefit concert, 1200 tickets were sold and $3300 was raised. If there were $2 and $5 tickets, how many of each were sold?
------
Equations:
Quantity Equation:: x + y = 1200
Value Equation::: 2x +5y = 3300
----------------------------------
Modify for elimination:
2x + 2y = 2400
2x + 5y = 3300
-----
Subtract and solve for "y":
3y = 900
y = 300 (# of $5 tickets sold)
------
x + y = 1200
y = 900 (# of $2 tickets sold)
================================
Cheers,
Stan H.
=================
RELATED QUESTIONS
at a benefit concet, 600 tickets were sold and $1500 was raised. if there were $2 and $5... (answered by BrittanyM,jojo14344)

I have two equations for this problem, I am just not sure how to solve it. The problem... (answered by richwmiller,Alan3354)

Tickets to the "One Direction" concert cost $5 and $8. If 960 tickets were sold for a... (answered by nihar*2013)

Eighty tickets were sold for a concert. x tickets were sold for $5 each and the rest of... (answered by lynnlo)

Tickets for a concert were sold at $26 each and $36 each.four times as many $26 tickets... (answered by ewatrrr)

Tickets for a concert were sold to adults for $3 and to students for $2. If the total... (answered by mananth)

A total of 2825 tickets were sold for the concert for a total of $25,898 if advance... (answered by jorel1380,addingup)

Adult tickets for a concert were $5 each and student tickets were $2 each. A total of 980 (answered by fractalier)

The jazz band sold tickets for a concert. Adults paid $10 apiece, students paid $5 apiece (answered by stanbon)