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?


d – 22 + 0.25d = 10.75

0.25d + 22 – d = 10.75

0.25(22 – d) + d = 10.75

d + 0.25(d – 22) = 10.75

Answer 1

Answer:

C. $0.25(22-d)+d=10.75$

Step-by-step explanation:

Let d represent the number of dollar coins.

We have been given that Giuliana has 22 quarters and dollar coins. So number of quarter coins would be $22-d$.

We know that value of a quarter is $0.25. So all quarter coins will be worth $0.25(22-d)$

We are also told that these coins worth a total of $10.75. This means that d dollar coins and $0.25(22-d)$ worth 10.75. We can represent this information in an equation as:

$0.25(22-d)+d=10.75$

Therefore, option C is the correct choice.

Upon solving our equation we will get,

$5.5-0.25d+d=10.75$

$5.5+0.75d=10.75$\

$5.5-5.5+0.75d=10.75-5.5$

$0.75d=5.25$

$\frac{0.75d}{0.75}=\frac{5.25}{0.75}$

$d=7$

Therefore, Guiliana had 7 dollar coins.