A collector has 120 movie posters and 100 band posters. She wants to sell 24 movie posters but still maintain the same ratio of 120:100 in her collection.
If she sells 24 movie posters, how many band posters should she sell?
Explain your answer.
Answer (3)
To maintain a 6:5 ratio of movie to band posters, if the **collector sells **24 movie posters to have 96 remaining, she would need to have 80 band posters left. Thus, she should sell 20 of her 100 initial band posters. ;
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.
The collector should sell 20 band posters to maintain the same ratio of movie posters to band posters after selling 24 movie posters. This is determined by setting up a proportion based on the remaining posters. Solving this proportion gives the required number of band posters to sell.
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