SOLUTION: tickets to a band concert cost $5 for adults, $3 for teens, $2 for preteens. there were 570 people at the concert, and total ticket receipts were 1950. three-fourths as many teenag

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Question 671728: tickets to a band concert cost $5 for adults, $3 for teens, $2 for preteens. there were 570 people at the concert, and total ticket receipts were 1950. three-fourths as many teenagers as preteens attended. how many adults, teens, and preteens attended?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
preteens x------------------- $2
teens = 3x/4-------------------$3
Adults = total - (preteens + teens)
Adults = 570-((3x/4)+x).
= 570-(7x/4)..........................$5
Total receipts
2x+3*(3x/4) +5(570-(7x/4))=1950
2x+9x/4 + 2850-35x/4 = 1950
multiply equation by 4
8x+9x+4*2850-35x=4*1950
-18x= -3600
x= 200 pre teens
Teens = 3/4 * 200 = 150
Balance =220 adults