Mr Tan had $20 more than Mr Lee at first. After Mr Tan spent $50 and Mr Lee spent half of his money, both of them had the same amount of money left. How much money did Mr Lee have at first? Ans: $___

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Worked solution

27

1. Express the amounts left in terms of units

Let Mr Lee's amount of money left be 11 unit.
Since Mr Lee spent half of his money, his initial amount was 22 units.
Since both had the same amount left, Mr Tan also had 11 unit left.

2. Form an equation using Mr Tan's initial amount

Mr Tan spent $50\char36{}50, so his initial amount was 1 unit+501\text{ unit} + 50.
We are given that Mr Tan had $20\char36{}20 more than Mr Lee at first, so Mr Tan's initial amount can also be expressed as 2 units+202\text{ units} + 20.
Equating the two expressions for Mr Tan's initial amount:
1 unit+50=2 units+201\text{ unit} + 50 = 2\text{ units} + 20

3. Solve for 1 unit and find Mr Lee's initial amount

2 units−1 unit=50−202\text{ units} - 1\text{ unit} = 50 - 20
1 unit=301\text{ unit} = 30
Mr Lee's initial amount = 2 units=2×30=602\text{ units} = 2 \times 30 = 60

Answer

6060

AI analysis — may contain mistakes.

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