Question

The ratio of the number of Mimi’s Eminem CD’s to the number of Rita’s Eminem CD’s is 5:8. Rita has 18 more Eminem CD’s than Mimi. If Rita gives 22 CD’s to Mimi, what will be the new ratio of the number of Mimi’s Eminem CD’s to Rita’s?

Answer 1

let the number of Mimi's CD be M, and Rita's be R
M/R=5/8 and R=18+m =>M/(18+M)=5/8
5(18+M)=8M =>M=30, and R=18+30=48

Next, Rita gives 22 CD to Mimi, so Rita has now 48-22=26, and Mimi has 30+22=52
M/R=52/26=2/1
2:1 is the answer