Answer:
C.
Step-by-step explanation:
Hi there!
To answer this, we must set it up as
Now we just use the distributive property to solve.
this becomes 
I hope this helps!
This is the distributive property. You take what is outside of the parenthesis and DISTRIBUTE it inside the parenthesis.
Fun
n=number of nickles
q=number of quarters
d=number of dimes
4 more dmes than nickles, 3 more quarters than dimes
d+4=n
q=3+d
total value is 455 cents
10d+5n+25q=455
divide both sides by 5 to simplify
2d+n+5q=91
now we convert all to one coin
q=3+d and n+4=d
subsitute 3+d for q and n+4 for d
2(n+4)+n+5(3+d)=91
2(n+4)+n+5(3+n+4)=91
2(n+4)+n+5(n+7)=91
2n+8+n+5n+35=91
8n+43=91
minus 43 both sides
8n=48
divide both sides by 8
n=6
sub back
n+4=d
6+4=d
10=d
q=3+d
q=3+10
q=13
6 nickles
10 dimes
13 quarters
