A collector has 120 movie posters and 100 band posters. She wants to sell 24 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?

20 band posters

Step-by-step explanation:

Set up a proportion where x is the number of band posters she should sell:

=

Cross multiply and solve for x:

2400 = 120x

20 = x

So, she should sell 20 band posters.

If she sells 20 band posters and 24 movie posters, the ratio will be 96:80, which is the same as 120:100. Simplified, both ratios are 1.2:1

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.