Question

The lee's spend $ 31 on movie tickets for 2 adults and 3 children. The Smith's spent $ 26 on movie tickets for 2 adults and 2 children what are the prices for an adult and child movie ticket ?

Answer 1

Answer:

Cost of adult ticket is $8 and Cost of children ticket is $5.

Step-by-step explanation:

Given:

Let the cost of each Adult ticket be 'x'.

Let the cost of each child ticket be 'y'.

Now Given:

The lee's spend $ 31 on movie tickets for 2 adults and 3 children.

Number of adult tickets = 2

Number of children ticket = 3

Total money spent = $31

So we can say that;

Total money spent is equal to sum Number of adult tickets multiplied by cost of each Adult ticket and sum Number of children tickets multiplied by cost of each child ticket.

framing in equation form we get;

$2x+3y=31 \ \ \ \ equation \ 1$

Also Given:

The Smith's spent $ 26 on movie tickets for 2 adults and 2 children

Number of adult tickets = 2

Number of children ticket = 2

Total money spent = $26

So we can say that;

Total money spent is equal to sum Number of adult tickets multiplied by cost of each Adult ticket and sum Number of children tickets multiplied by cost of each child ticket.

framing in equation form we get;

$2x+2y=26 \ \ \ \ equation \ 2$

Now Subtracting equation 2 from equation 1 we get;

$2x+3y-(2x+2y)=31-26\\\\2x+3y-2x-2y=5\\\\y=\ 5$

Now substituting the value of y in equation 1 we get;

$2x+3y=31\\\\2x+3\times5 =31\\\\2x+15=31\\\\2x=31-15\\\\2x=16x\\\\\frac{2x}{2}\frac{16}{2}\\\\x=\ 8$

Hence Cost of adult ticket is $8 and Cost of children ticket is $5.