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Math Help - Substitution problem

  1. #1
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    Substitution problem

    Problem Solving: What do the variables represent; when does cost=revenue.
    A high school class is putting together a newsletter. The cost of the design and colour copies is $200 plus 75 cents per copy. The class plans to sell the newsletter for $1.25. The cost and revenue can be represented by the following system of equations.

    Cost: C=200+0.75n

    Revenue: C=1.25n

    Solve the system of equations by substitution.

    I know the answer but im not sure how to get to it. Any help is apprectiated.
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  2. #2
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    Quote Originally Posted by lovalente View Post
    Problem Solving: What do the variables represent; when does cost=revenue.
    A high school class is putting together a newsletter. The cost of the design and colour copies is $200 plus 75 cents per copy. The class plans to sell the newsletter for $1.25. The cost and revenue can be represented by the following system of equations.

    Cost: C=200+0.75n

    Revenue: C=1.25n

    Solve the system of equations by substitution.

    I know the answer but im not sure how to get to it. Any help is apprectiated.
    Set the two equations equal to each other:

    \begin{aligned}<br />
1.25n &= 200 + 0.75n \\<br />
0.5n &= 200 \\<br />
n &= 400<br />
\end{aligned}

    Now find C by plugging in n = 400 into one of the equations, and you get C = 500.


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  3. #3
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by lovalente View Post
    Problem Solving: What do the variables represent; when does cost=revenue.
    A high school class is putting together a newsletter. The cost of the design and colour copies is $200 plus 75 cents per copy. The class plans to sell the newsletter for $1.25. The cost and revenue can be represented by the following system of equations.

    Cost: C=200+0.75n

    Revenue: C=1.25n

    Solve the system of equations by substitution.

    I know the answer but im not sure how to get to it. Any help is apprectiated.
    cost equals revenue \Rightarrow{1.25n=200+0.75n}
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