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In a day care, 80% of the kids are American.  60% of the kids have started speaking. Of these, only 20% are under the age of 2 years. If the number of non-American kids at the day care is 40, what is the number of kids who can speak and are not under 2 years of age?
  • a)
    24
  • b)
    50
  • c)
    96
  • d)
    120
  • e)
    160
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In a day care, 80% of the kids are American. 60% of the kids have star...
Step 1: Question statement and Inferences
Let the total number of kids at the day care be N
So, number of American kids = 80% of N = 0.8N
Number of non-American kids = N-0.8N = 0.2N
It is given that 0.2N = 40
From here, we calculate that N = 200
Step 2: Finding required values
Number of kids who speak = 60% of N = 60% of 200 = 120
Of these, 20% are under 2 years of age.
Remaining 80% are not under 2 years of age
Step 3: Calculating the final answer
Number of kids who are not under 2 years of age = 80% of 120
= 96
Looking at the answer options, we see that option C is correct.
 
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