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Math Help - finding cost

  1. #1
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    Post finding cost

    Sara wants to paint her home. She can buy three cans of the same-priced paint and three identical brushes for $21, or she can buy four cans of the same paint and one brush for $22. How much does a can of paint cost?
    Which one option is true :

    A.
    $2
    B.
    $3
    C.
    $4
    D.
    $5
    E.
    $6

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  2. #2
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    Quote Originally Posted by mths View Post
    Sara wants to paint her home. She can buy three cans of the same-priced paint and three identical brushes for $21, or she can buy four cans of the same paint and one brush for $22. How much does a can of paint cost?
    Which one option is true :

    A.
    $2
    B.
    $3
    C.
    $4
    D.
    $5
    E.
    $6

    Let x denote the price of one can of paint and y the price of one brush.

    Then you can set up a system of simultaneous equations:

    \left|\begin{array}{l}3x+3y=21 \\ 4x+y=22\end{array}\right.

    Now solve for x. I've got x = 5, so it's answer D.
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