A collector has 120 movie posters and 100 band posters. She wants to sell 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.

Question

apologiabiology · Answer

120:100 or 6:5 so 24:x if ratios are the same then the reciprocal of one of the ratios times the other ratio should equal 1 so 6/5 times x/24=1 6x/120, x=20

apologiabiology · Answer

The collector should sell 20 band posters to maintain the ratio of movie posters to band posters after selling 24 movie posters. This keeps the new quantities at 96 movie posters and 80 band posters, preserving the 6:5 ratio. By following the ratio relationship, we accurately calculated the necessary sale of band posters. 
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A collector has 120 movie posters and 100 band posters. She wants to sell 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.

Answer (2)

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