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

Answer:

The cost of child ticket is $9.3.

The cost of adult ticket is $10.6.

Step-by-step explanation:

Given : The price for an adult movie ticket it $1\frac{1}{3}$ 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 $1\frac{1}{3}=\frac{4}{3}$ more than a movie ticket for a child.

i.e. The price for adult ticket is $x+\frac{4}{3}$

She buys a box of popcorn for $5.50.

Total cost of tickets and popcorn is $x+\frac{4}{3}+x+5.50$

Total she spends is $26.50.

So, $x+\frac{4}{3}+x+5.50=25.50$

$2x=25.50-5.50-\frac{4}{3}$

$2x=20-\frac{4}{3}$

$2x=\frac{60-4}{3}$

$2x=\frac{56}{3}$

$x=\frac{56}{3\times 2}$

$x=\frac{28}{3}$

$x=9.3$

The cost of child ticket is $9.3.

The cost of adult ticket is $x+\frac{4}{3}=\frac{28}{3}+\frac{4}{3}=\frac{32}{3}=10.6$

The cost of adult ticket is $10.6.