A collector has 120 movie posters and 100 band
Posters. She wants to sell 24 movie posters but still have her poster collection maintain the same ratio of 120: 100. If she sells 24 movie posters,
how many band posters should she sell? Explain
If I did this right you subtract 24 from 124 and get 96. Then you take 96 and divide it by 120,=0.80
Take 0.80 and multiply it by 100,= 80. Take 100 and subtract 80 = 20.
The collector has to sell 20 band posters.
120/100=1.2
96/80=1.2
You're right.
Thank you for the answer
where did you get 124 ?
To solve this problem, we need to maintain the same ratio of 120 movie posters to 100 band posters when selling 24 movie posters.
First, let's calculate the current ratio of movie posters to band posters:
Ratio = Number of Movie Posters / Number of Band Posters
Current Ratio = 120 / 100 = 6/5
This means for every 6 movie posters, there are 5 band posters in the collector's collection.
Now, let's say she sells 24 movie posters. To maintain the same ratio, we need to find out how many band posters she should sell as well.
Let's assume the number of movie posters sold is x, and the number of band posters to be sold is y.
New Ratio = (Number of Movie Posters - x) / (Number of Band Posters - y)
We know that x = 24 (since she wants to sell 24 movie posters).
Substituting the values into the equation:
New Ratio = (120 - 24) / (100 - y)
New Ratio = 96 / (100 - y)
Since the new ratio should be the same as the current ratio, we can set up an equation:
6/5 = 96 / (100 - y)
To solve this equation, we can cross-multiply:
(6/5) * (100 - y) = 96
Now, let's solve for y:
600 - 6y = 96
Rearranging the equation:
-6y = -504
y = 504 / 6
y = 84
Therefore, the collector should sell 84 band posters in order to maintain the same ratio of 120:100.
so comfusing
Explain why plz
Cross multiply and solve for x.
120/100 = 24/x
I understand this all so much, thanks for helping very much. Have a great day!
;)