Answer:
12 Days
Step-by-step explanation:
Let's make some equations out of what they give us
The first equation would be for the first box
90 - 2x
The first box has 90 spiders initially and 2 get removed everyday (each day is represented by variable x)
The second equation would be for the second box
44 + 2x
The second box has 44 spiders initially and 2 get added everyday
Now, we can set them equal to each other
90 - 2x = 44 + 2x
Solve
46 = 4x
x = 11.5
In 11.5 days the spiders would be equal. But this does not mean we are done. We have to find how many days the number of spiders in the second box will be greater than the number in the first box.
The first day that the number of spiders in the second box will be greater than the number in the first box is 12 days. We just rounded up to get the first whole day that it will be greater.
Check:
90 - 2(12) = 44 + 2(12)
90 - 24 = 44 + 24
66 = 68
90 - 2(11.5) = 44 + 2(11.5)
90 - 23 = 44 + 23
67 = 67
We see here that after 11.5 days there is 67 spiders in each box. We then see that after 12 days the second box has 68 spiders and the first box has 66 spiders.
<em>Hope this helps!!</em>
<em>- Kay :)</em>
