Every day, a factory making pencils sends 2077 pencils to the town market and 3701 pencils to markets
in other states. We know that a little more than 614 pencils are remaining in the factory. If we know that
the factory makes a perfect square number of pencils every day, what is the smallest possible number of
pencils remaining in the factory?
Answers
Answer: 622
Step-by-step explanation:
let the no.of pencils remaining in the factory be (614+x)
total pencils mmanufactured everyday,
2077 + 3701 + (614+x) = 6392+x.
The question says that the factory makes a perfect square numbers of pencils every day. Nearest perfect square to 6392 is 6400.
Therefore, 6400 = 6392 + x
6400 - 6392 = x
x = 8.
no.of pencils remaining in the factory = 614 + x = 614 + 8 = 622.
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Answer:
No. of pencils remaining in the factory = 614 + x
Total no. of manufactured by the factory everyday
= 2077 + 3701 + 614 + x = 6392
( ATQ ) According to the question
The question is saying that perfect square number of pencils are made everyday
So, the square number which is more tha 6392 is 6400
Hence,
= 6392 + x = 6400 = 80 ^ 2
= x = 6400 - 6392
= x = 8
8 pencils more are remaining in the factory