Answer:
Erin made 5.5 dozen cookies.
Step-by-step explanation:
Total cookies made by Kim, Mary and Erin = 24 dozen cookies
Let Erin make cookies = x dozens
Mary made cookies = 2x dozens
Kim made cookies = x+2 dozens
Now, we need to find how many cookies did Erin made.
We can write:
[tex]x+2x+x+2=24[/tex]
Solving the equation we get:
[tex]x+2x+x+2=24\\4x+2=24\\4x=24-2\\4x=22\\x=22/4\\x=5.5[/tex]
So, Erin made cookies = x = 5.5 dozens
Mary made cookies = 2x =2(5.5) = 11 dozens
Kim made cookies = x+2 =5.5+2 = 7 dozens
Therefore, Erin made 5.5 dozen cookies.
