Question

One Friday night, a group of friends bought 5 containers of popcorn and 4 granola bars at the movie theatre for $42. 50. The next week, the same group of friends bought 3 containers of popcorn and 6 granola bars for $34. 50. Let p represent the cost of one container of popcorn. Let g represent the cost of one granola bar. Which system of equations will solve for p and g? 5 p 4 g = 34. 50. 3 p 6 g = 42. 50. 4 p 5 g = 34. 50. 3 p 6 g = 42. 50. 4 p 5 g = 42. 50. 6 p 3 g = 34. 50. 5 p 4 g = 42. 50. 3 p 6 g = 34. 50.

Answer 1

The cost of one container of popcorn and granola is $6.5 and $2.5.

Linear system

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

A group of friends bought 5 containers of popcorn and 4 granola bars at the movie theatre for $42.50.

The next week, the same group of friends bought 3 containers of popcorn and 6 granola bars for $34.50.

To find

The equation and solution of the equation.

How to get it?

Let p represent the cost of one container of popcorn.

Let g represent the cost of one granola bar.

A group of friends bought 5 containers of popcorn and 4 granola bars at the movie theatre for $42.50.

5p + 4g = 42.50 .....1

The next week, the same group of friends bought 3 containers of popcorn and 6 granola bars for $34.50.

3p + 6g = 34.50 .....2

From Equations 1 and 2, we have

p = 6.5  and  g = 2.5

Thus, the cost of one container of popcorn and granola is $6.5 and $2.5.

More about the linear system link is given below.

brainly.com/question/20379472