A collector has 120 movie posters and 100 band posters. She wants to sell 24 movie posters but still have her poster c
Collection maintain the same ratio of 120:100. If she sells 24 movie posters, how many band posters should she sell? OK
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1.2 (band posters) = (movie posters)
1.2 b = 24
b = 24/1.2 = 240/12 = 20
To maintain the same ratio of 120:100 between movie posters and band posters, we need to find the corresponding number of band posters to sell when the collector sells 24 movie posters.
First, let's determine the ratio between movie posters and band posters. The ratio is calculated by dividing the number of movie posters by the number of band posters:
Ratio = Number of Movie Posters / Number of Band Posters
Ratio = 120 / 100
Ratio = 6 / 5
Now, let's assume that the collector sells 24 movie posters. To find the corresponding number of band posters to sell, we need to keep the same ratio:
New Ratio = (120 - 24) / (100 - x)
where x represents the number of band posters to sell.
Using this new ratio, we can solve for x:
New Ratio = 6 / 5
(120 - 24) / (100 - x) = 6 / 5
Multiply both sides of the equation by (100 - x) to eliminate the denominator:
5 * (120 - 24) = 6 * (100 - x)
600 - 120 = 600 - 6x
480 = 600 - 6x
Rearrange the equation:
6x = 600 - 480
6x = 120
Divide both sides by 6:
x = 20
Therefore, the collector should sell 20 band posters to maintain the same ratio when selling 24 movie posters.