SOLUTION: Tickets to a concert cost $2 for children, $3 for teenagers and $5 for adults. When 570 people attended the concert, the total ticket receipts were $1950. Three-fourths as many t

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Tickets to a concert cost $2 for children, $3 for teenagers and $5 for adults. When 570 people attended the concert, the total ticket receipts were $1950. Three-fourths as many t      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 971547: Tickets to a concert cost $2 for children, $3 for teenagers and $5 for adults. When 570 people attended the concert, the total ticket receipts were $1950. Three-fourths as many teenagers as children attended. How many adults attended?
a.
200
c.
220
b.
150
d.
316
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
X=children
(3/4)x=teenagers
570-(7/4)x=adults
2x+(3/4)x*3+5*(570-(7/4)x=1950. The adults are the total minus the sum of the other 2 groups.
-(18/4)x +2850 = 1950
-(18/4)x = -900
Change both signs and multiply both by 4
18x = 3600
X=200. Children
.75x=150 teenagers
220= adults


Revenue in order is
400
450
1100. = 1950