Giuliana has 22 quarters and dollar coins worth a total of $10.75.

which equation can be used to find d, the number of dollar coins giuliana has?

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

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