Answer:
There will be 312 pennies and 162 nickels that will make up to $11.22 and there are 474 coins altogether.
Explanation:
Here,
A penny is worth 1 cent.
A nickel is worth 5 cents.
A dime is worth 10 cents.
A quarter is worth 25 cents.
A dollar is worth 100 cents.
Let there be x pennies and y nickels.
x+y=474
0.01x+0.05y=11.22
Now,
0.01x+0.01y=4.74
0.01x+0.05y=11.22
subtracting both,
-0.04y=-6.48
y=6.48/0.04
y=162 nickels
x+162=474
x=312 pennies
There will be 312 pennies and 162 nickels totaling $11.22, for a total of 474 coins.