I NEED HELP LIKE FR
8/11 rounded to the nearest thousandth

21

Step-by-step explanation:

We have an equation in the first sentence we are given.  Mike and Alice together recycled 147 bottles, so in equation form that looks like this:

M + A = 147.

That alone doesn't do us much good because we have 2 unknowns.  The next sentence gives us Mike's number of bottles based on Alice's.  If the number Mike recycles is 6 times as many as Alice, replace the word "is" with an "=" and "6 times as many as Alice" with 6A to get:

M = 6A

Now we can go back to the first equation and replace M with 6A:

6A + A = 147

Now we only have A's.  That's a good thing.  Solve for A:

7A = 147

A = 21