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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.

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Calculation is done as follows:

Number of movie posters remaining = 120 - 24 = 96
Number of band posters remaining= x

120:100 = 96:x
x = 80

100-x = 100 - 80 = 20

Therefore, she should sell about 20 band posters for her to maintain the same ratio of the movie posters to the band posters.
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