Question

Kevin and Levi go to the movie theater and purchase refreshments for their friends.

Kevin spends a total of $44.50 on 3 bags of popcorn and 4 drinks.

Levi spends a total of $84.00 on 4 bags of popcorn and 8 drinks.

Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.

Answer 1

The System of equation are
`\left \{ {{3x+4y=44.50} \atop {4x+8y=84.00}} \right.`

Explanation:

Let the Cost of bags of popcorn be 'x'.

Let the Cost of drinks be 'y'.

Given:

Kevin spends a total of $44.50 on 3 bags of popcorn and 4 drinks.

Now Total Money Spend by Kevin is equal to sum of Number of bags of popcorn multiplied by Cost of bags of popcorn and number of drinks multiplied by Cost of drinks.

framing in equation form with given details we get;

`3x+4y=44.50`

Also Given:

Levi spends a total of $84.00 on 4 bags of popcorn and 8 drinks.

Now Total Money Spend by Levi is equal to sum of Number of bags of popcorn multiplied by Cost of bags of popcorn and number of drinks multiplied by Cost of drinks.

framing in equation form with given details we get;

`4x+8y=84.00`

Hence The System of equation are
`\left \{ {{3x+4y=44.50} \atop {4x+8y=84.00}} \right.`