Answer:
She should sell 66 band posters.
Step-by-step 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.
[tex]135-36\\\\=99\ posters.[/tex]
As, she wants the ratio to be maintain same.
So, let the number of the band posters she should sell be [tex]x.[/tex]
If, 135 is equivalent to 90.
Thus, 99 is equivalent to [tex]x.[/tex]
Now, to solve using cross multiplication method:
[tex]\frac{135}{90} =\frac{99}{x}[/tex]
By cross multiplying we get:
[tex]135x=8910[/tex]
Dividing both sides by 135 we get:
[tex]x=66.[/tex]
The number of the band posters she should sell = 66.
Therefore, she should sell 66 band posters.
