SOLUTION: pencils are .25 each & notebooks are 1.00 each. if we have $20.00 how many pencils & pens did we puchase? how much did we spend on each. Please show work. thank you.

Algebra ->  Equations -> SOLUTION: pencils are .25 each & notebooks are 1.00 each. if we have $20.00 how many pencils & pens did we puchase? how much did we spend on each. Please show work. thank you.      Log On


   

Question 419470: pencils are .25 each & notebooks are 1.00 each. if we have $20.00 how many pencils & pens did we puchase? how much did we spend on each. Please show work. thank you.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
pencils are .25 each & notebooks are 1.00 each. if we have $20.00 how many pencils & pens did we puchase? how much did we spend on each.
Please show work.
There are a total of 52 pencils & notebooks.
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You have already said the pencils are 25 cents and the notebooks are $1.
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You have information for a value equation and a Quantity Equation:
Value Equation::0.25p + 100*n = 2000 cents
Quantity Equation: p + n = 52 pieces
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Multiply thru 1st by 100
Multiply thru 2nd by 25
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25p + 10000n = 200000 cents
25p + 25n = 25*52
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Subtract and solve for "n":
9975n = 198700
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n = 19.919799
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Note: That does not make any sense.
The number of notebooks sold must be a whole number.
Please check the wording of your problem.
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Cheers,
Stan H.