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
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1. Express the amounts left in terms of units
Let Mr Lee's amount of money left be unit.
Since Mr Lee spent half of his money, his initial amount was units.
Since both had the same amount left, Mr Tan also had unit left.
2. Form an equation using Mr Tan's initial amount
Mr Tan spent , so his initial amount was .
We are given that Mr Tan had more than Mr Lee at first, so Mr Tan's initial amount can also be expressed as .
Equating the two expressions for Mr Tan's initial amount:
3. Solve for 1 unit and find Mr Lee's initial amount
Mr Lee's initial amount =
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