Answer:
Rebecca owns 72.
Joshua owns 65.
Explanation:
Joshua owns some number of movies called x.
Rebecca owns 10 percent more than Joshua or 1.10x.
Robbie owns 15% more than Rebecca or 1.15(1.1x) = 1.265x.
If the total Robbie, Rebecca and Joshua movies is 220, then write:
x + 1.1x + 1.265x = 220
3.365x = 220
x = 65.37
This means Joshua owns 65 movies. Then Rebecca owns 65 movies plus 10% of it. This means 65 + 0.1(65) = 71.5. This rounds to 72. And Robbie owns 15% more than 72 so 72 + 72(0.15) = 82.8. This rounds to 83.
You can double check the numbers 65 + 72 + 83 = 220