Question

Kim, Mary and Erin made a total of 24 dozen cookies. Mary made twice as many cookes as Erin and Kim made 2 more dozen cookies than Erin. How many cookies did Erin make

Answer 1

Erin made 5.5 dozen cookies.

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:

`x+2x+x+2=24`

Solving the equation we get:

`x+2x+x+2=24\\4x+2=24\\4x=24-2\\4x=22\\x=22/4\\x=5.5`

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.