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Question

Hi all need help with this question. Thank you!

 

Mrs Nair baked a total of 1000 cookies for the pupil in her class. there were more boys than girls in the class. The number of cookies that each boy received was equal to the number of boys in the class, the number of cookies that each girl received was equal to the number of girls in the class. How many cookies did the boys received altogether?

Answer

 

square numbers : 1, 4, 9, … 100, … 900, …
1000 = 900 + 100 = 30 x 30 + 10 x 10
30 x 30 = 900

Ans : 900 cookies.

Another possible solution is :
square numbers : 1, 4, 9, … 324, … 676, …
1000 = 676 + 324 = 26 x 26 + 18 x 18
26 x 26 = 676

Ans : 676 cookies.
Note : The number of boys x number of cookies each boy received = number of boys x number of boys. Likewise, the number of girls x number of cookies each girls received = number of girls x number of girls.

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Firstly, we know that the total number of boys and girls must be less than 45 because 45² = 2025 > 2000 (2 x 1000)

The difference between number of boys and girls need to be specified.  Otherwise, there will be more than 1 possible solution : 

30 boys + 10 girls or

26 boys + 18 girls.

Solution can be obtained by using a simple “trick” which I believed was shown in similar questions that were posted before in the old threads and possibly in this AskQ forum as well.  

 

cheers.

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This is a square question.

Boy square + girl square = 1000

Try 30 × 30 + 20 × 20 = 900 + 400 = 1300

Try 30 × 30 + 15 × 15 = 900 + 225 = 1125

Try 30 × 30 + 10 × 10 = 900 + 100 = 1000 ✔

 

Note 

This is Big square plus Small square question. 

In Primary level, we have to use try and error method.

 

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