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A coin bank contains nickels, dimes and quarters totaling $5.45. If there are twice as many quarters as dimes and 11 more nickels than quarters, how many of each coin are in the bank?
a. 15 nickels, 2 dimes, and 4 quarters
b. 25 nickels, 7 dimes, and 14 quarters
c. 17 nickels, 3 dimes, and 6 quarters
d. 31 nickels, 5 dimes, and 10 quarters

Question

help will fan and medal 
A coin bank contains nickels, dimes and quarters totaling $5.45.  If there are twice as many quarters as dimes and 11 more nickels than quarters, how many of each coin are in the bank?
a. 15 nickels, 2 dimes, and 4 quarters
b. 25 nickels, 7 dimes, and 14 quarters
c. 17 nickels, 3 dimes, and 6 quarters
d. 31 nickels, 5 dimes, and 10 quarters

anonymous · Answer

Its Option B
25nickels 7dimes and 14quarters

anonymous · Answer

Take no. of nickels = n
dimes = d
and quarters = q
we have
q=2d
and
n=11+2d
so
And now
d=10 cents q=25cents and n=5cents
so
10d+5n+25q=$5.45=545cents
or
10d+5(11+2d)+25x2d=545
or
70d+55=545
or
70d=490
or
d=7
so 
q=2x7=14
and
n=11+q=25
Yeah
Done