Answer: 2:1
Explanation:
Hi, to answer this question we have to write a system of equations
R = M+18 (Rita(R) has 18 more Eminem CDs than Mimi(M))
M/R= 5/8 (ratio)
Solving for M (Mimi's cds) in the second equation
8M=5R
M=5/8R
Replacing M =5/8R in the first equation
R=5/8R +18
R-5/8R= 18
3/8R =18
R=18 /(3/8)
R= 48 CDS
Back in the second equation
8M =5R
8M=5(48)
8M= 240
M= 240/8
M=30 CDS
If Rita gives 22 CDs to Mimi
R=48-22=26
M=30+22=52
The new ratio of the number Eminem CDs Mimi has to the number of Eminem CDs Rita has IS:
M/R= 52/26= 26x2 /26 x1 = 2/1 =2:1
Feel free to ask for more if needed or if you did not understand something.