There are 172 South American animals in a zoo. That number is more than 1/2 the number of African animals. What does n equal if n is the number of African animals?

besnuffelfo

besnuffelfo

Answered question

2022-09-25

There are 172 South American animals in a zoo. That number is more than 1 2 the number of African animals. What does n equal if n is the number of African animals?

Answer & Explanation

Nancy Phillips

Nancy Phillips

Beginner2022-09-26Added 12 answers

We can't find the number exactly, but we can find a range of possible answers.
We know that the number of South American animals in the zoo is 172 and that number is more than 1 2 of the number of African animals. I'll use SA as South American animals and A as African animals (I'll call it n at the end to match up with the question's request). We can say:
S A > 1 2 A
and so therefore:
A < 2 S A
We can drop in the number for SA:
A < 2 ( 172 ) = 344
Now - we now the maximum number of African animals is less than 344. We can also presume that the minimum number of African animals is bigger than 172 (otherwise the question would have been phrased differently). So the overall answer is:
172 < A < 344 and to meet the requirement of the question, I'll put it in terms of n:
172 < n < 344
So S A > 1 2 n

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