Ne 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?

Question

Mathematics

Damien

9 March, 16:48

Ne 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?

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Answers (1)

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Brenda Reynolds · Answer 1

In this question, it is given that p represents cost of 1 container of popcorn. Therefore cost of 5 containers of popcorn = 5p and cost of 3 containers of popcorn = 3p.

And g represents cost of 1 container of granola bars. THerefore cost of 4 containers of granola bars = 4g and cost of 6 containers of granola bars = 6g.

According to the given question, the required linear equations are

5p+4g=42.50, 3p+6g = 34.50.

And these are the the required system of linear equation.