Let's assume that there were initially x mushrooms in the basket.
After taking out 10 mushrooms from the basket, there are x - 10 mushrooms left.
Then, when 14 mushrooms are added to the basket, the total number of mushrooms becomes (x - 10) + 14.
According to the given information, this total is equal to 85: (x - 10) + 14 = 85.
Now we can solve this equation to find the initial number of mushrooms, x.
x - 10 + 14 = 85 x + 4 = 85 x = 85 - 4 x = 81
Therefore, there were originally 81 mushrooms in the basket.
