SOLUTION: Gina has a pile of 50 dimes and nickels worth $4.30. How many coins of each type does she have?

Question 430647: Gina has a pile of 50 dimes and nickels worth $4.30. How many coins of each type does she have?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
She can't have an odd number of nickels, since
that would give her a 5 in the units position,
like $4.35.
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She can't have all dimes, since that would equal
$5.00, which is $.70 too much
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Suppose she had 40 dimes, making $4.00.
She needs $.30, which is 6 nickels.
46 coins isn't enough.
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If she has 30 dimes, that's $3.00, and
$1.30 must be made up with nickels.
That's 26 nickels, and 30 + 26 = 56,
which is too much
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36 dimes = $3.60, leaving $.70 woth of
nickels, or 14 nickels, and 14 + 36 = 50
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She has 36 dimes and and 14 nickels
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