Let
q------> the number of quarters coins
d------> the number of dollars coins
we know that
[tex]1\ quarter=\$0.25[/tex]
[tex]q+d=22[/tex]
[tex]q=22-d[/tex] ------> equation A
[tex]0.25q+d=10.75[/tex] -----> equation B
substitute equation A in equation B
[tex]0.25[22-d]+d=10.75[/tex]
therefore
the answer is the option
[tex]0.25[22-d]+d=10.75[/tex]
An equation is formed when two equal expressions are equated together with the help of an equal sign '='. The correct option is C.
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that Giuliana has 22, quarters and dollar coins worth a total of $10.75.
Let the number of dollar coins be represented by d, while the number of quarter coins be represented by (22-d). Therefore, the sum of the total amount that is with Giuliana can be written as,
(1 x d) + (0.25 x (22-d)) = 10.75
d + 0.25(22-d) = 10.75
Hence, the equation can be used to find d, the number of dollar coins Giuliana has is 0.25d + 22 – d = 10.75.
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