A piggy bank contains a nickels, dimes and quarters. There are five more dimes than nickels and twice as many quarters as dimes. The total value for the coins is $7.55. How many of each type of coins is in the piggy bank? # of nickels: # of dimes: # of quarters:

34 nickels, 39 dimes, 78 quarters

Step-by-step explanation:

q = quarters, d = dimes, n = nickels

n = d - 5

q = 2d

.25q + .10d + .05n = 7.55

Plug in the first 2 equations into the third one

.5d + .10d + .05(d - 5) = 7.55

Open up the Parenthesis

.5d + .10d + .5d - .25 = 7.55

Combine Like Terms

.2d - .25 = 7.55-->

.2d = 7.8 -->

d = 39 -->

n = 39 - 5 = 34

q = 2(39) = 78