Answer:
102 nickels and 56 quarters
Explanation:
Since the total amount of coins is 158, then...
q+n=158
Since the total amount of money is $19.10, and a quarter is 25 cents and a nickel is 5 cents, then...
0.25q+0.05n=19.10
Now that we have 2 equations and 2 variables, we can solve for this equation by solving the first equation for q and plugging it into the second equation.
q+n=158,
q=158-n
Plug into the other equation,
0.25(158-n)+0.05n=19.10
and solve for n
39.5-0.25n+0.05n=19.10
39.5-0.2n=19.10
-0.2n=-20.4
n=102
there are 102 nickels.
Now solve for quarters.
q+n=158
q+102=158
q=158-102
q=56