SOLUTION: Jessie has dimes and nickels in his piggy bank. The number of nickels is 3 times the number of dimes. If the total amount is $8.50, how many coins are there in total
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Question 1058272: Jessie has dimes and nickels in his piggy bank. The number of nickels is 3 times the number of dimes. If the total amount is $8.50, how many coins are there in total
Answer by solve_for_x(190) (Show Source): You can put this solution on YOUR website!
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.
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