Question

Kaylee and Olivia go to the movie theater and purchase refreshments for their friends.

Answer 1

The price of one bag of popcorn is $3.75

Step-by-step explanation:

Let,

x represent the cost of a bag of popcorn

y represent the cost of a drink.

According to given statement;

4x+12y=30      Eqn 1

x+6y=11.25      Eqn 2

Multplying Eqn 2 by 2

$2(x+6y=11.25)\\2x+12y=22.50\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 1

$(4x+12y)-(2x+12y)=30-22.50\\4x+12y-2x-12y=7.50\\2x=7.50$

Dividing both sides by 2

$\frac{2x}{2}=\frac{7.50}{2}\\x=3.75$

4x+12y=30 and x+6y=11.25 can be used to find the price of one bag of popcorn and the price of one drink.

The price of one bag of popcorn is $3.75

Keywords: linear equation, elimination method

Learn more about elimination method at:

• brainly.com/question/11821063
• brainly.com/question/11871074

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