Acollector 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.

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

the answer is simply just 6n add the two together as they have an n