A collector has 120 movie posters and 100 band posters. She wants to sell 24 movie posters but still have her poster c

Collection maintain the same ratio of 120:100. If she sells 24 movie posters, how many band posters should she sell? OK

120/100 = 24/x

120x = 2400

x = 20

20

To maintain the same ratio of 120 movie posters to 100 band posters, we can set up a proportion:

120 movie posters / 100 band posters = (120 - 24) movie posters / x band posters

Simplifying the proportion:

120/100 = 96/x

Now, we can cross multiply to solve for x:

120x = 100 * 96

120x = 9600

x = 9600 / 120

x = 80

Therefore, the collector should sell 80 band posters to maintain the same ratio.