Mike collected 9 times as many stickers as Nathan. When Mike gave Nathan some of his stickers, they each had 20. How many stickers had Mike given to Nathan?
To solve this problem, we can set up an equation. Let's say that Nathan had x number of stickers.
We are given that Mike collected 9 times as many stickers as Nathan, so Mike had 9x stickers.
When Mike gave Nathan some of his stickers, they each had 20 stickers. Since Nathan had x stickers and Mike had given him some of his stickers, Nathan ended up with x + (the number of stickers Mike gave him) stickers, which is equal to 20.
We can now set up the equation:
x + (the number of stickers Mike gave Nathan) = 20
We know that Mike had 9x stickers, so the total number of stickers he gave to Nathan is 9x - (the number of stickers Mike gave Nathan).
Substituting this into the equation, we get:
x + (9x - (the number of stickers Mike gave Nathan)) = 20
Simplifying the equation, we have:
10x - (the number of stickers Mike gave Nathan) = 20
Since we want to find the number of stickers Mike gave Nathan, we can rearrange the equation:
(the number of stickers Mike gave Nathan) = 10x - 20
To find the exact number of stickers Mike gave Nathan, we need to know the value of x, which is not provided in the question. Hence, we cannot determine the exact number of stickers Mike gave Nathan without additional information.