Question

A collector has 120 movie posters and 100 band posters. She wants

Answer 1

Answer:

She should sell 20 band posters from total 80 to keep the maintain the same ratio.

Step-by-step explanation:

The total number of movie posters collector has  = 120

The total number of band posters collector has  = 80

The current ratio of movie poster : band poster  = 120 : 100

or, reducing the ratio further, we get

ratio of movie poster : band poster  = 6 : 5   ......  (1)

Now, the number of posters she wants to sell = 24

So, the remaining movie poster left = 120 - 24  = 96

Let us assume she sells m band posters to keep the ratio equal.

So, the number of band posters she is left with = 100 - m

⇒The ratio of movie poster left  : band poster  left = 96 : 100 - m  .. (2)

Now here as the ratio remains same after selling m band posters, so

$\frac{6}{5} = \frac{96}{100 - m} \\\implies 100 - m = 96 \times\frac{5}{6} = 80\\or, 100 - 80 = m\\\implies m= 20$

or, m = 20

Hence, she should sell 20 band posters from total 80 to keep the maintain the same ratio.