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Nephew Needs Help Please.

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kuiperbelt | 18:50 Tue 21st Mar 2023 | Science
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A year head teacher wants to put together some 'goody bags' to give out to pupils who have gone the extra mile. She purchases the following:

3 tins of Quality Street, each tin contains 124 items of confectionary.
2 boxes of Milk Tray, each box has 78 items of chocholate.
212 assorted Harry Potter Stickers.

The teacher will distribute evenly all items so that each goody bag contains exactly the same amount of QSt confectionary items, Milk Tray chocolates and HP stickers.

How many goody bags does the teacher need??
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Factorising . . . 372 = 31 x 3 x 2^2 (where 2^2 means 2 squared) 156 = 13 x 3 x 2^2 212 =53 x 2^2 So the teacher can have 1, 2 or 4 goody bags. It's not possible to have any other number, as 31, 13 and 53 are prime numbers and so can't be divided up.
19:15 Tue 21st Mar 2023
So the answer is 4?? Well that's as clear as mud. Does this teacher realise how big a goody bag has to be to hold at least 93 quality street sweets in? 1 actual tin contains 64 sweets so that's a tin a and half worth in just of those in this fictitious bag.
Goody sack might be a better name.
//The answer is 4.//

Or two.
If course, the teacher could eat the chocolates and just share out the stickers.....
To save confusion, perhaps best if you ask your nephew to mention which area of the math syllabus he is studying.

Since you have provided the answer, 4, the problem is clearly a topic appertaining to Highest Common Factors (HCF).

To ensure he has understood, just for fun now, put forward this little poser.

What is the HCF of 5 and 7 ?
4 stickers shy of 12 bags . . . dammit that Harry Potter anyway.
In parafrasing perhaps the question should of said' most or largest possible number of bags.
this is a practical HCF question isnt it?

we were never told (1962) that they were necessary for the bottom line of fractions

or really why you factorised nubers in the first place

"The teacher will distribute evenly all items..."
there could still be some left over which were not distributed.... - all the ones that WERE distributed were distributed evenly

Heart sink case - where you say ' the legislation clearly specifies white unicorns....'
and the judge says
yeah i am gonna include brown cows and palomino horses as well....
one ( HCF 5 and 7)
one is not a prime but that is not asked for

very difficult for an 8 y o - and we mean greatest GCF dont we? see above

For ABers who never went to sec school
1 as a prime screws unique prime factorisation
2x1= 2x1x1x1
NOT something I think a primary skool kid shd struggle with
Glazes over..........
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\ legislation clearly specifies white unicorns....'
and the judge says
yeah i am gonna include brown cows and palomino horses as well...\

LOL Marginally better than being asked to distribute a jar of 'Hundreds and Thousands' :-)
I'm not understanding this.
The number of pupils who will be rewarded depends on factorising a few numbers?
Quite large bags too I would say ...

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