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A person purchased 10 items to donate to a school. They bought backpacks that cost $25.75 each and notebooks that cost $4.25 each. The total cost of the items is $150. This situation can be represented by a system of equations with a unique solution.
What does the solution (x, y) to the system of equations represent in this context?



A. the cost of all the backpacks



B. the cost of all the notebooks



C. the total amount of money spent on the items



D. the number of backpacks and notebooks purchased

Respuesta :

Answer:

D

Step-by-step explanation:

The system of linear equation 25.75x + 4.25y = 150 represents x and y as the number of backpacks and the number of notebooks.

What is the system of equations with a unique solution?

In a system of the linear equation there exist if and only if the number of unknowns and the number of the equation is equal.

Total item purchased = 10

The cost of backpacks = $25.75

The cost of notebooks = $4.25

The total cost of the items is $150.

Let x be the number of backpacks and y be the number of notebooks so, the system of equations.

25.75x + 4.25y = 150

Therefore, the system of linear equation 25.75x + 4.25y = 150 represents x and y as the number of backpacks and the number of notebooks.

Learn more about linear equations;

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