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1 April, 11:03

Amy sold pens and pencils for a fundraiser at school. Pencils sold for $1.50 and pens sold for $2. She sold a total of 35 items and made $61.50. How many pens did Amy sell?

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  1. 1 April, 11:05
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    Let's break this down into a system of equations.

    Let d = number of pencils, and p = number of pens.

    We want to solve for p.

    These are our two equations:

    1) 1.50d + 2p = 61.50.

    She sold $61.50 in merchandise, $1.50/pencil, $2/pen

    2) d + p = 35

    She sold a total of 35 items.

    To solve for p, let's write equation p a different way:

    3) d = 35 - p

    Now we can substitute d from equation 3) into equation 1) to figure out the answer.

    1.50 (35 - p) + 2p = 61.5

    52.5 - 1.5p + 2p = 61.5 Distribute within parentheses

    52.5 +.5p = 61.5 Subtract 52.5 from each side

    .5p = 9 Multiply both sides by 2

    p = 18

    p = 18

    Amy sold 18 pens. To find how many pencils she sold:

    p + d = 35

    18 + d = 35

    d = 17

    Answer is 18 pens.
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