A student bought 3 boxes of pencils and 2 boxes of pens for $6. He then bought 2 boxes of pencils and 4 boxes of pens for $8. Find the cost

Question

A student bought 3 boxes of pencils and 2 boxes of pens for $6. He then bought 2 boxes of pencils and 4 boxes of pens for $8. Find the cost of each box of pencils and each box of pens

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    0
    2021-10-15T00:20:50+00:00

    Let c and n represent the numbers of pencil and pen boxes, respectively
    .. 3c +2n = 6.00
    .. 2c +4n = 8.00

    You can halve the second equation and subtract it from the first to get
    .. (3c +2n) -(c +2n) = 6.00 -4.00
    .. 2c = 2.00
    .. c = 1.00

    Then
    .. 1.00 +2n = 4.00 . . . . . half the original second equation with c filled n
    .. 2n = 3.00
    .. n = 1.50

    A box of pencils costs $1.00; a box of pens costs $1.50.

    0
    2021-10-15T00:21:23+00:00

    Answer:

    112 x 4

    Step-by-step explanation:

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