Question

taylor has 85 cents in imes and nickels in her pocket. the number of dimes is four more than the number of nickels. How many of each coin does she have?

Answer 1

3 nickels and 7 dimes.

Explanation:

Let +n+ = number of nickels

Let +d+ = number of dimes

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(1) +5n+%2B+10d+=+85+

(2) +d+=+n+%2B+4+

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Substitute (2) into (1)

(1) +5n+%2B+10%2A%28+n+%2B+4+%29+=+85+

(1) +5n+%2B+10n+%2B+40+=+85+

(1) +15n+=+45+

(1) +n+=+3+

and

(2) +d+=+n+%2B+4+

(2) +d+=+3+%2B+4+

(2) +d+=+7+

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There are 3 nickels and 7 dimes

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check:

(1) +5n+%2B+10d+=+85+

(1) +5%2A3+%2B+10%2A7+=+85+

(1) +15+%2B+70+=+85+

(1) +85+%2B+85+

OK