Solution: x = 4
Here’s a more clear explanation I found :)) have a good day
Answer:
There should be at most 24 lucky numbers in the third bag.
Step-by-step explanation:
Initially, there are 200 numbers. Two bags with 100 each. There are 31+18 = 49 lucky numbers. So there is a 49/200 = 0.245 probability that a randomly selected number from a random bag is the lucky number.
Now with 300 numbers, we want this probability to be lower than 24.5%. So we should solve the following rule of three:
200 - 49
300 - x



With the third bag, the probability will be the same if 73.5-49 = 24.5 lucky numbers are added. So there should be at most 24 lucky numbers in the third bag.
Answer:

Step-by-step explanation:
Given
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← factor denominator
=
- 
We require the fractions to have a common denominator.
Multiply numerator/denominator of first fraction by x
=
- 
Subtract terms on numerator leaving the common denominator
= 
= 
X is 31
The triangles are similar so each angle measure is exactly the same. It is just the side lengths that change.