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A collector has 120 movie posters and 100 band posters. She wants to sell 24 movie posters but still have her poster collection maintain the same ratio of 120:100. If she sells 24 movie posters, how many band posters should she sell? Explain thx

ratio of movie to band posters = 120:100 = 6/5

after selling 24 movie posters she has 96
so 96/x = 6/5
6x = 480
x = 80

so she has to sell 100-80 or 20 band posters

I think the answer is 20

Please help answer

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Is 20

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20 posters

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Did you know?

Did you know that maintaining ratios is essential in preserving the balance of a collection? Let's take a look at an example: A collector owns 120 movie posters and 100 band posters. To keep the same ratio of 120:100, the collector plans to sell 24 movie posters. To maintain this ratio, she should sell a proportional amount of band posters. To determine the number of band posters she should sell, we can use a proportion. The ratio of movie posters to band posters is 120:100. If she sells 24 movie posters, the new ratio would be 96:100. With this, we can cross-multiply to find the number of band posters she should sell, which would be (100 * 24) / 120 = 20 band posters. By selling 24 movie posters and 20 band posters, the collector can maintain the ratio of her poster collection while reducing the total number of posters she owns.