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There are five nickels (5¢) in a quarter (25¢) so the rule is:

1) Divide the number of nickels by 5 to get the number of quarters

2) The remainder, if any, is the number of nickels left over

For example, if you have 17 nickels, 17/5 = 3 rem 2, so that means you have 3 quarters with 2 nickels remaining. To confirm, 17 nickels are worth a total of 85¢ (5 * 17); 3 quarters = 75¢ so 10 cents - i.e. 2 nickels - would be left over.

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Q: How do I write the rule to find the number of quarters for any number of nickels?
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Write the ratio of 7 nickels to 2 quarters in simplest form?

Looking for the lowest common denominator we find that 2 quarters equals 10 nickels. Therefore the ratio is 7 to 10 or 7/10.


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