Final answer:
After Rita gives 22 CDs to Mimi, Mimi will have 52 CDs and Rita will have 26 CDs.
Step-by-step explanation:
To determine the new ratio of Mimi's Eminem CDs to Rita's, we need to first find the number of CDs each of them initially had.
From the given information, we know that the ratio of Mimi's CDs to Rita's CDs is 5:8.
Let's assume the number of Mimi's CDs is 5x and the number of Rita's CDs is 8x.
We are also told that Rita has 18 more CDs than Mimi, so 8x - 5x = 18.
Solving this equation, we find that x = 6.
Therefore, Mimi initially had 5x = 5 * 6 = 30 CDs and Rita initially had 8x = 8 * 6 = 48 CDs.
After Rita gives 22 CDs to Mimi, Mimi will have 30 + 22 = 52 CDs and Rita will have 48 - 22 = 26 CDs.
So, the new ratio of Mimi's CDs to Rita's CDs is 52:26, which simplifies to 2:1.