Question

Mike and alice recycled 147 bottles altogether. Mike recycled 6 times as many bottles as Alice. How many bottles did alive recycle

Answer 1

total=147

a:m

1:6 =7

147÷7=21

21×1=21

alice recycled 21 bottles

Answer 2

21

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