SOLUTION: 22.30 was spent on a total of 14 tickets,if adults was 2.25, children admission was1.10.How many children attended the movie.

Algebra.Com
Question 494764: 22.30 was spent on a total of 14 tickets,if adults was 2.25, children admission was1.10.How many children attended the movie.
Answer by Maths68(1474)   (Show Source): You can put this solution on YOUR website!
Let
x=Adult Ticket
y=Children Ticket
Cost of Adult ticket = 2.25
Cost of Children ticket = 1.10
Cost of x tickets sold=2.25*x
Cost of y tickets sold=1.10*y
Adult tickets sold + children’s tickets sold = Total tickets sold
x+y=14
x=14-y………………(1)
Cost of Adult tickets sold + Cost of Children’s tickets sold = Cost of total tickets sold
2.25x+1.10y=22.30……..(2)
Put value of x from (1) to (2)
2.25x+1.10y=22.30……..(2)
2.25(14-y)+1.10y=22.30
2.25(14-y)+1.10y=22.30
31.5-2.25y+1.10y=22.30
-1.15y=22.30-31.5
-1.15y=-9.2
y=-9.2/-1.15
y=8
8 children attended the movie.

RELATED QUESTIONS

22.30 was spent on a total of 14 tickets,if adults was 2.25, children admission... (answered by Maths68)
admission prices for a football game were $6 for adults and $2 dollars for children the... (answered by solver91311,dragonwalker)
The price of admission for a ticket was $10 for adults and $3 for children. 520 tickets... (answered by checkley77)
A group of 14 people spent $28 for admission tickets to Cinema Uno. The theater charges... (answered by greenestamps)
A group of 14 people spent 28 dollars for admission tickets to Cinema One. The theatre... (answered by excellentsolutionas)
Answers for Admission Tickets To A Football Game Were 60 Cents For Adults And 25 Cents... (answered by checkley79)
there were 620 people at a play. The admission was $2 for adults and $1 for children. The (answered by josgarithmetic)
Solve the problem. The Family Arts Center charges $22 for adults, $17 for senior... (answered by TimothyLamb)
Admission tickets to a theater were 60 cents for adults and 25 cents for children.... (answered by mananth,ReadingBoosters)