Anatoliy has a combination of 104 nickels and quarters totaling 22 Which system of linear equations can be used to find the number of nickels, n, and the number of quarters q, Anatoliy has? n+q=22 0.05n+0.25q=104 n+q=104 5n+25q=22 n+q=104 0.05n+0.25q=22 n+q=22 5n+25q=104

## Step 1<br />The problem involves the creation of a system of linear equations based on the given information. The information provided is that Anatoliy has a combination of 104 nickels and quarters totaling $22.<br /><br />## Step 2<br />The first equation is derived from the total number of coins Anatoliy has. This is represented by the equation \(n + q = 104\), where \(n\) is the number of nickels and \(q\) is the number of quarters.<br /><br />## Step 3<br />The second equation is derived from the total value of the coins Anatoliy has. This is represented by the equation \(0.05n + 0.25q = 22\), where \(n\) is the number of nickels and \(q\) is the number of quarters.<br /><br />## Step 4<br />The other options do not accurately represent the given information. For example, the equation \(n + q = 22\) does not correctly represent the total number of coins, and the equation \(5n + 25q = 22\) does not correctly represent the total value of the coins.