The answer is d + 0.25(d - 22) = 10.75
d - the amount of dollar coins
q - the amount of quarters
It is given: d + q = 22
The quarter is $0.25, therefore:
d + 0.25q = 10.75
Now, we have the system of equations:
d + q = 22
d + 0.25q = 10.75
According to the first equation:
d + q = 22 ⇒ q = 22 - d
We will replace q in the second equation:
d + 0.25q = 10.75 ⇒ d + 0.25(22 - d) = 10.75
