Final answer:
In one sewing kit, Rayshawn needs 4 more spools of thread than needles. Regardless of the number of kits Rayshawn makes, she will always need twice as many spools of thread as thimbles.
Step-by-step explanation:
The question presented involves calculating ratios and differences between quantities in a given set of items in a sewing kit that Rayshawn is making. According to the problem, each sewing kit has a ratio of thimbles to spools of thread as 2:8 and a ratio of needles to thimbles as 4:2. To find the difference between the number of spools of thread and the number of needles in one kit, we need to find the actual number of each item based on the given ratios.
Firstly, since the ratio of thimbles to spools of thread is 2:8, this simplifies to 1:4, meaning for every thimble there are 4 spools of thread. Since each kit contains 2 thimbles, it would contain 2 * 4 = 8 spools of thread. Secondly, the ratio of needles to thimbles is 4:2, which simplifies to 2:1. For every thimble, there are 2 needles. So, 2 thimbles will mean 2 * 2 = 4 needles. Now, we can calculate the difference between spools of thread and needles in one kit, which is 8 spools of thread - 4 needles = 4 more spools of thread than needles.
For the second part of the question, no matter how many sewing kits Rayshawn makes, she will always need twice as many spools of thread as thimbles, given the constant ratio of 1:4 (thimbles to spools of thread).