Question

The nursing home has a total of 22 nurses and nurse's aides working each shift. There are 6 more aides than there are nurses. How many nurses and nurses' aides work during each shift?

a) 8 nurses and 14 aides
b) 9 nurses and 13 aides
c) 11 nurses and 11 aides
d) 10 nurses and 12 aides

Answer 1

To determine the number of nurses and aides, two equations were set up using the given information, which were then solved to find that there are 8 nurses and 14 aides working each shift.

Step-by-step explanation:

To solve the problem, let's use variables to represent the number of nurses and nurse's aides. Let N represent the number of nurses and A represent the number of aides. According to the question, there are a total of 22 nurses and aides working each shift, and there are 6 more aides than nurses.

Using these pieces of information, we can set up two equations:

• N + A = 22 (Total staff)
• A = N + 6 (There are 6 more aides than nurses)

Substituting the second equation into the first, we get:

• N + (N + 6) = 22
• 2N + 6 = 22
• 2N = 22 - 6
• 2N = 16
• N = 8

So, there are 8 nurses. Now, to find the number of aides:

• A = N + 6
• A = 8 + 6
• A = 14

Therefore, there are 8 nurses and 14 aides working each shift, which corresponds to option (a).