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?
A. d – 22 + 0.25d = 10.75
B. 0.25d + 22 – d = 10.75
C. 0.25(22 – d) + d = 10.75
D. d + 0.25(d – 22) = 10.75

Question

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?
A. d – 22 + 0.25d = 10.75
B. 0.25d + 22 – d = 10.75
C. 0.25(22 – d) + d = 10.75
D. d + 0.25(d – 22) = 10.75

vocaloid · Answer

hint:

d = number of dollar coins
q = number of quarters

d + q = 22, since there are 22 total coins
we can rewrite this as q = 22-d

d + 0.25q = 10.75, which is the total value of the coins
substitute "22-d" for q