SOLUTION: bill & jose's discount cinema sold adults' tickets for $4.10 each and children's tickets for $2.70 each. last tuesday, a total of $331.30 was collected from 89 movie watchers. how
Algebra.Com
Question 248836: bill & jose's discount cinema sold adults' tickets for $4.10 each and children's tickets for $2.70 each. last tuesday, a total of $331.30 was collected from 89 movie watchers. how many of each type of ticket were sold? (let x represent the number of adults' tickets and y represent the number of children's tickets.)
4. solve by applying the quadratic formula. show your work. 3x2 - 2x + 3 = 0.
Found 2 solutions by josmiceli, tutorcecilia:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of adult tickets sold
Let = number of children's tickets sold
given:
(in cents)
(1)
(2)
Multiply both sides of (2) by
and subtract from (1)
(1)
(2)
and, since
65 adult tickets and 24 children's tickets were sold
check:
(1)
OK
Answer by tutorcecilia(2152) (Show Source): You can put this solution on YOUR website!
Use: x+y=total items
So, x+y=89
y=89-x
and
Use: ax+by=(total)(ratio)
So, 4.10x+2.70y=331.30
4.10x+2.70(89-x)=331.30[substitute y=89-x)
4.10x+240.30-2.70x=331.30
4.10x-2.70x=331.30-240.30
1.40x=91
x=91/1.40
x=65 adult tickes
65+y=89
so,
y=89-65=24 children tickets sold
RELATED QUESTIONS
translate the problem situation to a system of equations do not solve. bill n Jose... (answered by JBarnum)
Bill & Jose's Discount Cinema sold adults' tickets for $4.10 each and children's tickets... (answered by stanbon)
Bill & Jose's Discount Cinema sold twice as many adults' tickets for $15.00 each and... (answered by mananth)
You are buying tickets for you and your family
to attend a movie. Adult tickets are... (answered by josmiceli)
525 tickets were sold for a game for a total of $987.50. If adult tickets sold for $2.50... (answered by ikleyn)
At a college basketball game, students’ tickets cost 12 pesos each, adults’ tickets cost... (answered by richwmiller)
A local concert sells out for their show. They sell all 500 tickets for a total purse of (answered by greenestamps)
Patricia's school is selling tickets to the school play. On the first day of ticket... (answered by Theo,math_tutor2020,mananth)
Linda was selling tickets for the school play. she sold 10 more adult tickets than... (answered by josmiceli)