3.Reina has 40 pieces of bananas, 48 pieces of atis and 36 pieces of chicos. She
wants to put them equally in the plastic bag. How many possible number o
each fruit will be placed in the plastic bag?
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Answers
Answer:
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She can put 4 bananas, 4 atis and 4 chikos in the plastic bag.
Here, according to the given information, we are given that,
Reina has 40 pieces of bananas, 48 pieces of atis and 36 pieces of chikos.
Now, in order to find the possible number of each fruit to be placed in the plastic bag, we need to find the highest common factor out of all these quantities of the three fruits.
Now, greatest common divisor of these three quantities is,
40 can be factorized as 2 × 2 × 2 × 5.
Proceeding in a similar way, 48 can be factorized as 2 × 2 × 2 × 2 × 3.
Proceeding in a similar way, 36 can be factorized as 3 × 3 × 2 × 2.
Then, the greatest common divisor = 4.
Then, she can put 4 bananas, 4 atis and 4 chikos in the plastic bag.
hence, she can put 4 bananas, 4 atis and 4 chikos in the plastic bag.
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