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primary 6 | Maths
| Fractions

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Fractions question

Andy is able to give either 1/3 or 1/2 of his share to Ben. So, Andy's number of stamps must be divisible by both 3 and 2.

What number is divisible by 3 and 2? Maybe...6?

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Let's say Andy starts out with 6 units.

Andy gives 1/3 of his share, or simply 2 units, to Ben.

So, in the first model, Andy has 4 units.

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If Andy were to give 1/2 of his share to Ben, he is essentially giving away 3 units to Ben, so that Andy only has 3 units left.

So in the second model, Andy has 3 units, which is basically 1 unit fewer than in the first model. Ben will also gain this 1 unit.

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In the process from the first model to the second model,

- Andy loses 1 unit

- Ben also gains 1 unit

- This means that the gap between Andy and Ben widens by 2 units

The 2 units of widening is the reason why Ben's "advantage" increases from 20 stamps to 50 stamps, or basically an extra 30 stamps.

2 units = 30 stamps

1 unit = 15 stamps

6 units = 90 stamps

So, Andy has 90 stamps.

You can easily check from here that Ben will have 50 stamps at first, and you can verify your answer accordingly.

½ , ⅓

LCM(2,3) → 6

3 - 2 = 1

2×1 = 2

2u = 50-20= 30

6u = 90 (Ans)