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Bartholomew and Maurice are buying school supplies. Bartholomew buys 5 notebooks and 6 binders for a total of $31.45. Maurice buys 4 notebooks and 8 binders for $38.60. Let n represent notebooks and b represent binders,what is the cost of a notebook?

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akposevictor

Creating a system of equations, the cost of a notebook (n) will be: $1.25

n = note books.

b = binders.

Create a system of equation and solve for the variables.

Equation for school supplies bought by Bartholomew:

  • 5n + 6b = 31.45 --> Eqn. 1

Equation for school supplies bought by Maurice:

  • 4n + 8b = 38.60 --> Eqn. 2

  • Multiply Eqn. 2 by 6 and Eqn. 1 by 8.

40n + 48b = 251.6 --> Eqn. 1

24n + 48b = 231.6 --> Eqn. 2

  • Subtract Eqn. 1 from Eqn. 2.

16n = 20

  • Divide both sides by 16

n = 1.25

Therefore, creating a system of equations, the cost of a notebook (n) will be: $1.25

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https://brainly.com/question/12560930

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