Question

A collector has 100 movie posters and 80 band posters. She wants to sell 30 movie posters but still have her poster collection maintain the same ratio of 100:80. If she sells 30 movie posters, how many band posters should she sell? Complete the explanation to find out how many band posters she should sell.

Answer 1

Answer: 24 band posters should be sold

Explanation:

First take the expression down to its simplest form;

= 5:4

Assume she sells 30 movie posters, her movies posters drop to;

= 100 - 30

= 70 movie posters

We need a number of band posters remaining that will give a ratio of 5:4 with movie posters.

In fraction form, the number of movie posters is;

= 5/9 because 9 would be the total number of both movie posters and band posters.

Create an expression to find the total number of posters if 70 are movie posters;

5/9x = 70

x = 70 ÷ 5/9

x = 126 posters

Number of band posters that should be left are;

= 126 - 70

= 56

Number of band posters that should be sold;

= 80 - 56

= 24 posters

The new ratio would be 70:56.