Question 1058272
Let n represent the number of nickels, and let d represent the number of dimes.


Since the number of nickels is 3 times the number of dimes, you can write:


n = 3d


The total value of the coins is:


0.05n + 0.10d = 8.50


Substituting 3d in place of n gives:


0.05(3d) + 0.10d = 8.50


0.15d + 0.10d = 8.50


0.25d = 8.50


d = 8.50 / 0.25


d = 34


The number of dimes is 34.


The number of nickels is then 3 * 34 = 102.


Check:


0.05(102) + 0.10(34) = 5.10 + 3.40 = 8.50


Solution: He has 34 dimes and 102 nickels.