Micheals bank contains only nickels, dimes, and quarters. There are 51 coins in total, valued at $4.60. The number of nickels is 5 short of being 3 times the sum of the number of dimes and quarters. How many dimes are in the bank?

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Answer:

There are 12 dimes

Step-by-step explanation:

Dime = 10c

Nickel = 5c

Quarter = 25c

2 x 25c = 50c

12 x 10c = $1.20

2 + 12 = 14

14 x 3 = 42

42 - 5 = 37

37 + 14 = 51