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

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) (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
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