Jaxon and robert go the movie theater and purchase refreshments for their friends. jaxon spends a total of $71.75 on 2 drinks and 9 bags of popcorn. robert spends a total of $ 143.00 on 12 drinks and 8 bags of popcorn. write a system of equations that can be used to find the price of one drink and the price one bag of popcorn. using these equations, determine, and state the price of a drink, to the nearest cent.

The system of equations are

The price of one drink is $7.75 and the price one bag of popcorn is $6.25.

Step-by-step explanation:

Let the cost of 1 drink be 'x'.

And also let the cost of 1 bag of popcorn be 'y'.

Now according to question,

Jaxon spends a total of $71.75 on 2 drinks and 9 bags of popcorn.

So framing in equation form, we get;

Again, Robert spends a total of $ 143.00 on 12 drinks and 8 bags of popcorn.

So framing in equation form, we get;

Multiplying equation 1 with 6 we get;

Now Subtracting equation 2 from equation 1 we get;

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

Hence The system of equations are

Also The price of one drink is $7.75 and the price one bag of popcorn is $6.25.

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>