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Question

i need an explanation of how this works. A collector has 105 movie posters and 75 band posters. She wants to sell 21 movie posters but still have her poster collection maintain the same ratio of 105:75. If she sells 21 movie posters, how many band posters should she sell? Complete the explanation to find out how many band posters she should sell. Her current ratio of movie posters to band posters is 105:75. If she sells 21 movie posters, she will have **blank** left. 105/75 = 84/ **blank** , so she should sell **blank** band posters.

Answer 1

If she sells 21 she will have 75-21 = 54 band posters left

105/75 = X/54

105/75 = 21/15 = 7/5 = X/54

X=7(54)/5 = 378/5 = 75.6 movie posters needed to keep the ratio the same

105-75.6 = 29.4 movie posters should be sold. If she sells 29, she'll be closer than if she sells 30