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Joined: Tue Mar 02, 2021 5:00 pm
Posts: 6
Tom weighs 5kg more than Harry. Harry weighs 3kg more than Freddie who. in turn weighs 2kg less than Alfie. What is the difference, in kilograms between Tom and Alfie?

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Joined: Sun Oct 04, 2020 2:15 pm
Posts: 164
Location: Trafford
6kg?

Tom weighs 5kg more than Harry.
H+5=T
Harry weighs 3kg more than Freddie
H-3=F or H=F+3
who in turn weighs 2kg less than Alfie.
F+2=A

What is the difference, in kilograms between Tom and Alfie?

T-A=H+5-(F+2)
Then substitute H for F and finish it.

I think it's too hard for a 10 year old fwiw.

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Joined: Fri Sep 15, 2006 9:51 am
Posts: 10764
I suppose could do it by drawing a line:

Freddie ----- 2----- Alfie ----- 1 ------ Harry ------- 5 -------- Tom

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Joined: Tue Mar 02, 2021 5:00 pm
Posts: 6
Is there any easy solution for 10 years old?

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Joined: Mon Jun 18, 2007 3:32 pm
Posts: 7855
Location: East Kent
Hermanmunster’s suggestion is a good one.
Drawing diagrams really helps with probkems lije this. In school children use white boards for rough working and diagram/pictorial representation is encouraged

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Joined: Wed Aug 25, 2010 3:58 pm
Posts: 848
If you give Alfie a nominal weight of, say, 10kg then work backwards, it is quite straightforward:

Alfie = 10kg

Freddie = Alfie -2 = 8kg

Harry = Freddie + 3 = 11kg

Tom = Harry + 5 = 16kg

So Tom - Alfie = 16 - 10 = 6kg

(At these weights the boys would be babies!!)

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Joined: Wed Jan 18, 2012 12:41 pm
Posts: 11066
Location: Essex
Blitz wrote:
If you give Alfie a nominal weight of, say, 10kg then work backwards, it is quite straightforward:

Alfie = 10kg

Freddie = Alfie -2 = 8kg

Harry = Freddie + 3 = 11kg

Tom = Harry + 5 = 16kg

So Tom - Alfie = 16 - 10 = 6kg

(At these weights the boys would be babies!!)

DS2 was 19.3Kg at his weighing in Reception - I only remember that because I noted at the time that it was exactly 5 times his birth weight .
.

_________________
Outside of a dog, a book is a man's best friend. Inside of a dog it's too dark to read.Groucho Marx

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Joined: Wed Feb 27, 2019 2:52 pm
Posts: 64
I would do it as a vertical list.

So, Freddie weighs 2kg less than Alfie:

Alfie
-2
Freddie

Harry weighs 3kg more than Freddie, so Harry goes 1kg above Alfie:

Harry
-1
Alfie
-2
Freddie

Tom weighs 5kg more than Harry, so that can easily be fitted at the top:

Tom
-5
Harry
-1
Alfie
-2
Freddie

So, the difference between Tom and Alfie is 5+1=6, so 6kg.

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Joined: Wed Sep 18, 2019 2:57 pm
Posts: 42
Starwriter wrote:
Is there any easy solution for 10 years old?

This is effectively an introduction to inequalities. It is best explained using number lines. as suggested earlier.
if you draw the child a line and location Tom, Harry and Freddie...it becomes fairly simple.

The real difficulty is to explain to the child that similar questions may require the equation treatment when it involves equality and the relationship are relative (multiple) rather than absolute (add/subtract).

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