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Modeled the word problem mathematically like system of equations and solve by the matrix method.

A company\'s employees are working to create a new energy bar. They would like the two key ingredients to be peanut butter and oats, and they want to make sure they have enough carbohydrates and protein in the bar to supply the athlete. They want a total of 31 carbohydrates and 23 grams of protein to make the bar sufficient. Using the following table, create a system of two equations and two unknowns to find how many tablespoons of each ingredient the bar will need. Solve the system of equations using matrices. Show all work to receive full credit.

Grams of Nutrients per Tablespoon

 

	Carbohydrates	Protein
Peanut Butter	2	6
Oats	5	1

How many tablespoons of each will there need to be for the new energy bar?

 

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Solution Attachment

Solution document is in Word format