Sarah and kaylee go to the movie theater and purchase refreshments for their friends. sarah spends a total of $47.00 on 12 drinks and 1 bag of popcorn. kaylee spends a total of $81.75 on 3 drinks and 9 bags of popcorn. write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn.

1 drink costs and 1 popcorn bag cost

Step-by-step explanation:

Given:

Sarah spends a total of $47.00 on 12 drinks and 1 bag of popcorn.

Kaylee spends a total of $81.75 on 3 drinks and 9 bags of popcorn

Let the price of 1 drink be x

Let the price of 1 popcorn bag be y

Sarah Spends is given by:

Kayle spends is given by:

Now putting the value of x in sarah spending equation we get

Now Substituting value of y=8 in Sarah spends equation we get

Hence 1 drink costs and 1 popcorn bag cost

y = - 6

step-by-step explanation:

given the point (- 2, y) lies on the graph then it is a solution of it's equation.

substitute x = - 2 into the equation for value of y

y = 3(- 2) = 3 × - 2 = - 6

the point on the graph is (- 2, 6)