+108 A box contained some $5 notes. David took \( {1\over 3}{}{}\) of the notes and another 2 more
notes to buy a wallet. Then he took 50% of the remaining notes and 2 more notes to
buy a watch. Finally he took \( {1 \over 2}{}{}\) of what was left and another 2 notes to buy a book.
In the end, he had 7 pieces of notes left in the box. How much money was in the box
at first?
+118667 The box starts with x notes. (the money value is never important)
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He takes \(\frac{x}{3}+2 = \frac{x+6}{3}\)
and leaves \(\frac{2x}{3}-2=\frac{2x-6}{3}\\\)
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from the ones left
he takes \(\frac{1}{2}*\frac{2x-6}{3}+2=\frac{x-3}{3}+\frac{6}{3}=\frac{x+3}{3}\\ \)
and leaves \(\frac{x-3}{3}-\frac{6}{3}=\frac{x-9}{3}\)
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from the ones left
he takes \(\frac{1}{2}*\frac{x-9}{3}+2\)
and leaves ...
AND you should be able to take it from there
