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    Exclamation Algebra word problem

    At the neighborhood fruit market, cherries are priced at 2 lbs. for $3.50 and strawberries are priced at 3lbs. for $4.71. Cheryl bought 3lbs of cherries and 4 lbs. of strawberries. If the sales tax is 2%, how much change did Cheryl get from a $20 bill? round to the nearest cent.
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  2. #2
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    Quote Originally Posted by chellyluv View Post
    At the neighborhood fruit market, cherries are priced at 2 lbs. for $3.50 and strawberries are priced at 3lbs. for $4.71. Cheryl bought 3lbs of cherries and 4 lbs. of strawberries. If the sales tax is 2%, how much change did Cheryl get from a $20 bill? round to the nearest cent.
    First, find the price of cherries and strawberries per pound.

    2 lbs of cherries = $3.50 = 350 cents
    1 lb of cherry = \frac{350}{2} = 175cents =$1.75

    3 lbs of strawberries = $4.71 = 471 cents
    1 lb of strawberries = \frac{471}{3} = 157 cents = $1.57

    So, she buys 3 lbs of cherries and 4 lbs of strawberries to pay:

    (3 \times 1.75) + (4 \times 1.57) = 5.25+ 6.28 = 11.53

    Add a 2% tax to this amount:

    11.53 + [ \frac{2}{100} \times 11.53 ] = 11.7606

    Note: 2% tax on $11.53 =  \frac{2}{100} \times 11.53 = 0.23 . This is the tax that she pays(23 cents)

    Rounding off to the nearest cents gives you: $11.76

    So she gives a $20 bill means she gets back, $20.00 - $11.76 = $8.24
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  3. #3
    A riddle wrapped in an enigma
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    Quote Originally Posted by chellyluv View Post
    At the neighborhood fruit market, cherries are priced at 2 lbs. for $3.50 and strawberries are priced at 3lbs. for $4.71. Cheryl bought 3lbs of cherries and 4 lbs. of strawberries. If the sales tax is 2%, how much change did Cheryl get from a $20 bill? round to the nearest cent.
    Edit: Moving a bit slow these days.

    Hi chellyluv,

    This is more of an arithmetic problem, than it is an algebra problem.

    C=\frac{3.50}{2}=1.75 per pound

    S=\frac{4.71}{3}=1.57 per pound

    She spent 3C + 4S = 3(1.75)+4(1/57)=11.53

    2% tax on 11.53 = .02 \times 11.53 = .23

    Total spent including tax = 11.53+.23=11.76

    You figure the change from a 20 dollar bill.
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