SOLUTION: admission to a movie theater is $7 for adults and $5 for children. 200 tickets were sold for a total of $1,120. How many adult tickets and how many children tickets were sold?

Question 429542: admission to a movie theater is $7 for adults and $5 for children. 200 tickets were sold for a total of $1,120. How many adult tickets and how many children tickets were sold?
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
Let x = the number of adult tickets sold
Then 200 - x will be the number of children's tickets sold
So we can write
7x + 5(200 - x) = 1120
Solve for x:
7x + 1000 - 5x = 1120 -> 2x = 120 -> x = 60
So the number of adult tickets is 60, the number of children's tickets is 140.
Check:
7(60) + 5(140) = 420 + 700 = 1120

RELATED QUESTIONS
admission to a movie theater is $7 and $5 for children. if the receipts from 200 tickets... (answered by josmiceli)

A movie theater has 2 ticket prices: 11$ for adults and 6$ for children. On a certain... (answered by wilft1)

At a movie theater, the ratio of tickets sold for adults and children was 2 to 3. If 177... (answered by Alan3354)

Admission prices to a movie are $4 for children and $7 for adults. If 75 tickets were... (answered by ewatrrr)

At the movie theatre, child admission is $5.20 and adult admission is $9.90. On... (answered by Alan3354)

At the movie theatre, child admission is $5.20 and adults admission is $9.90. On... (answered by ikleyn)

Tickets to a local movie theater were sold at $6.00 for adults and $4.50 for students. If (answered by richwmiller,Alan3354)

A movie theater has two ticket prices: $7 for adults and $5 for children. If the box... (answered by mananth)

Admission for a school play was $12 for adults and $5 for children. A total 200 tickets... (answered by ewatrrr)