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

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) (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

RELATED QUESTIONS
Tickets to a concert cost $2 for children, $3 for teenagers and $5 for adults. When 570... (answered by Boreal)

If 118 people attend a concert and tickets for adults cost $3.75 while tickets for... (answered by ikleyn)

If 68 people attend a concert and tickets for adults cost $3.75 while tickets for... (answered by mananth,MathLover1,math_tutor2020)

If 72 people attend a concert and tickets for adults cost $3.5 while tickets for children (answered by josgarithmetic)

If 110 people attend a concert and tickets for adults cost $3.5 while tickets for... (answered by math_tutor2020,josgarithmetic)

If 129 people attend a concert and tickets for adults cost $2.25 while tickets for... (answered by ikleyn,josgarithmetic,math_tutor2020)

The jazz band sold tickets for a concert. Adults paid $10 apiece, students paid $5 apiece (answered by stanbon)

If 122 people attend a concert and tickets for adults cost $4 while tickets for children... (answered by stanbon)

If 90 people attend a concert and tickets for adults cost $3.75 while tickets for... (answered by ikleyn)