SOLUTION: dan has 10% as many quarters as nickels ia a jar. The total amount in the jar is $5.25. How may nickels does dan have?

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Question 285557: dan has 10% as many quarters as nickels ia a jar. The total amount in the jar is $5.25. How may nickels does dan have?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let n = number in nickels in jar
Let q = number of quarters in jar
given:
q+=+.1n
5n+%2B+25q+=+525 ( in cents)
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This is 2 equations and 2 unknowns, so it's solvable
By substitutiuon:
5n+%2B+25%2A%28.1n%29+=+525
5n+%2B+2.5n+=+525
7.5n+=+525
n+=+70
He has 70 nickels
check:
q+=+.1%2An
q+=+.1%2A70
q+=+7
and
5n+%2B+25q+=+525
5%2A70+%2B+25%2A7+=+525
350+%2B+175+=+525
525+=+525
OK