SOLUTION: A local charity is having a concert to raise money. They offer three types of tickets: patron, sponsor, and donor. They sell 326 tickets all together, charging $10, $5, and $2.50 r

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A local charity is having a concert to raise money. They offer three types of tickets: patron, sponsor, and donor. They sell 326 tickets all together, charging $10, $5, and $2.50 r      Log On


   

Question 249209: A local charity is having a concert to raise money. They offer three types of tickets: patron, sponsor, and donor. They sell 326 tickets all together, charging $10, $5, and $2.50 respectively and bringing in $1432.50. The number patron and sponsor tickets together is 24 less than the number of donor tickets. How many of each type did they sell?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
p=patron tickets
s=sponsor ticket
d=donor ticket
p+s=d-24
p+s+d=326
substitute p+s=d-24
d-24+d=326
2d=350
d=175
p+s=175-24=151
10p+5s+2.5d=1432.50
10p+5s+2.5(175)=1432.50
s=2(99.5-p)
2(99.5-p)
p+2(99.5-p)=151