Divide the value (in cents) of a quarter, by the value (in cents) of a dime. Alternately, you can also use the value in dollars in both cases.
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52 cents
1 quarter and 21 dimes or 3 quarters and 16 dimes or 5 quarters and 11 dimes or 7 quarters and 6 dimes or 9 quarters and 1 dime
There are 11 combinations. Beginning with the largest coin, they are:1) 3 quarters, 1 dime, and 2 nickels2) 2 quarters, 4 dimes, 1 nickel3) 2 quarters, 3 dimes, 3 nickels4) 2 quarters, 2 dimes, 5 nickels5) 2 quarters, 1 dime, 7 nickels6) 1 quarter, 6 dimes, 2 nickels7) 1 quarter, 5 dimes, 4 nickels8) 1 quarter, 4 dimes, 6 nickels9) 1 quarter, 3 dimes, 8 nickels10) 1 quarter, 2 dimes, 10 nickels11) 1 quarter, 1 dime, 12 nickelsIf you do not need to use all three coins, there are 15 more combinations:12) 3 quarters, 2 dimes13) 3 quarters, 4 nickels14) 2 quarters, 9 nickels15) 1 quarter, 7 dimes16) 1 quarter, 14 nickels17) 9 dimes, 1 nickel18) 8 dimes, 3 nickels19) 7 dimes, 5 nickels20) 6 dimes, 7 nickels21) 5 dimes, 9 nickels22) 4 dimes, 11 nickels23) 3 dimes, 13 nickels24) 2 dimes, 15 nickels25) 1 dime, 17 nickels26) 19 nickels
2 quarters 1 fifty cent piece 1 quarter 2 dimes and a nickel 1 quarter 1 dime and 3 nickels 1 quarter and 5 nickels 5 dimes 4 dimes and 2 nickels 3 dimes and 4 nickels 2 dimes and 6 nickels 1 dime and 8 nickels 10 nickels
1 quarter, 2 dimes, 1 nickel 1 quarter, 1 dime, 3 nickels