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17 October, 17:26

A collector has 160 movie posters and 120 band posters. She wants to sell 24 movie posters but still have her poster collection maintain the same ratio of 160:120. If she sells 24 movie posters, how many band posters should she sell? Complete the explanation to find out how many band posters she should sell.

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  1. 17 October, 19:54
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    Step-by-step explanation:

    The collector has 160 movie posters and 120 band posters.

    She wants to sell 24 movie posters but still have her poster collection maintain the same ratio of 160:120.

    Total ratio = 160 + 120 = 280

    If she sells 24 movie posters, it means

    24 = 160/280 * x = 160x/280

    Where x = total number of movie posters and band posters sold

    24 * 280 = 160x

    160x = 6720

    x = 6720/160 = 42

    Number of band posters that she should sell = total number of both posters - number of movie posters.

    Number of band posters that she should sell = 42-24 = 18
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