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5 June, 01:29

Mrs. Aiken bought some peaches at $1.49 per pound and some blueberries at $1.99 per pound to use in fruit salad she is making for an exciting math party at her house. She paid $20.38 for a total of 12 pounds of the two kinds of fruit. How many pounds of peaches did she buy?

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  1. 5 June, 01:54
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    P = peaches B=Blueberries

    $1.49 p + $1.99 b = $20.38

    p + b = 12 lbs.

    Take p + b = 12 subtract p from both sides. b = 12-p

    Now substitute b = 12 - p for b in $1.49 p + $1.99 b = $20.38

    Looks like this $1.49 p + $1.99 (12-p) = $20.38

    Distribute $1.99 * 12 = 23.88

    Distribute $1.99 * p = $1.99p

    $1.49 p + $23.88 - $1.99p = $20.38

    Combine $1.49 p - $1.99p = - 0.50

    -$0.50p + $23.88 = $20.38

    Subtract $23.88 on both sides.

    -$0.50p = - $3.50

    Divide both sides by - $0.50

    peaches = 7 lbs
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