Question

A collector has 135 movie posters and 90 band posters. She wants to sell 36 movie posters but still have her poster collection maintain the same ratio of 135:90. If she sells 36 movie posters, how many band posters should she sell? Complete the explanation to find out how many band posters she should sell. Her current ratio of movie posters to band posters is 135:90. If she sells 36 movie posters, she will have left. 135 90 = 99 , so she should sell band posters.

Answer 1

She should sell 66 band posters.

Explanation:

Given:

A collector has 135 movie posters and 90 band posters.

The collector wants to sell 36 movie posters.

But still want her collection to be the same ratio of 135:90.

If she sells 36 movie posters.

Now, to find the band posters she should sell.

Her current ratio of movie posters to band posters is 135:90.

If she sells 36 movie posters, she will have left.

`135-36\\\\=99\ posters.`

As, she wants the ratio to be maintain same.

So, let the number of the band posters she should sell be
`x.`

If, 135 is equivalent to 90.

Thus, 99 is equivalent to
`x.`

Now, to solve using cross multiplication method:

`(135)/(90) =(99)/(x)`

By cross multiplying we get:

`135x=8910`

Dividing both sides by 135 we get:

`x=66.`

The number of the band posters she should sell = 66.

Therefore, she should sell 66 band posters.