Question

the price for an adult movie ticket it 1 1/3 more than a movie ticket for a child. Ines takes her daughter to the movie, buys a box of popcorn for $5.50 and spends $26.50 write and solve an equation to find prices for each of their movie tickets

Answer 1

The price of a child ticket is $9.84 and an adult ticket is $11.17

Answer 2

The cost of child ticket is $9.3.

The cost of adult ticket is $10.6.

Explanation:

Given : The price for an adult movie ticket it
`1(1)/(3)` more than a movie ticket for a child. Ines takes her daughter to the movie, buys a box of popcorn for $5.50 and spends $26.50.

To find : Write and solve an equation to find prices for each of their movie tickets ?

Solution :

Let the price of one child ticket be 'x'.

The price for an adult movie ticket it
`1(1)/(3)=(4)/(3)` more than a movie ticket for a child.

i.e. The price for adult ticket is
`x+(4)/(3)`

She buys a box of popcorn for $5.50.

Total cost of tickets and popcorn is
`x+(4)/(3)+x+5.50`

Total she spends is $26.50.

So,
`x+(4)/(3)+x+5.50=25.50`

`2x=25.50-5.50-(4)/(3)`

`2x=20-(4)/(3)`

`2x=(60-4)/(3)`

`2x=(56)/(3)`

`x=(56)/(3* 2)`

`x=(28)/(3)`

`x=9.3`

The cost of child ticket is $9.3.

The cost of adult ticket is
`x+(4)/(3)=(28)/(3)+(4)/(3)=(32)/(3)=10.6`

The cost of adult ticket is $10.6.