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APMOPS 2002 Question 29

APMOPS · APMOPS 2002

Question 29

Patrick had a sum of money. On the first day, he spent $\frac14$ of his money and donated 30 dollars to charity. On the second day, he spent $\frac13$ of the money he still had and donated 20 dollars. On the third day, he spent $\frac12$ of the money he still had and donated 10 dollars. At the end, he had 10 dollars left. How much did he have at first?