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1) Santhosh packed 240 oranges and 288 apples in boxes. He packed oranges and apples in separate boxes. He put equal number of fruits in each box. What is the maximum number of fruits that can be put in each box?​

Sagot :

The maximum no of fruits that could be put in each box is 48

For determining the maximum no of fruits, we have to find out the highest common factor i.e. HCf between two numbers i.e. 240 and 288

So,

For 240 = [tex]2 \times 2 \times 2 \times 2 \times 3 \times 5[/tex]

And, for 288, it is = [tex]2 \times 2 \times 2 \times 2 \times 2 \times3 \times 3[/tex]

So, the highest common factor between two numbers is

= [tex]2\times 2\times 2\times 2\times 3[/tex]

= 48

So we can conclude that the maximum no of fruits that could be put in each box is 48

Learn more about numbers here: brainly.com/question/17429689?

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Answer:

the maximum number of fruits that can be put in each box=48

Given :

Total number of oranges = 240

Total number of apples = 288

we find maximum number of fruits by finding highest common factor HCF

Step-by-step explanation:

Lets find out HCF of 240 and 288

Write the prime factors for 240 and 288

[tex]288=2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3\\240=2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 5[/tex]

Now write the common factor for both numbers

[tex]2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 =48[/tex]

So, GCF is 48

We have to  put 48 fruits in each box.

Learn more :

brainly.in/question/8084599

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