Question

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. Compared to the number of children in attendance, three-fourths as many teenagers attended. How many teenagers attended?

Answer 1

220

Explanation:

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

Answer 2

150

Explanation:

we get hat there are 200 children and 220 adults so there are 150 teenagers there