Saturday, April 21, 2012

P6 Ratio [Heuristics: Guess-and-check, Algebra, Sakamoto ]

A coin box contained only twenty-cent and fifty-cent coins in the ratio of 4:5. When 16 fifty-cent coins were taken out and replaced by some twent-cent coins, the number of fifty-cent coins left in the box was 7/8 of the twenty-cent coins. The total value of all the coins remained the same. Find the sum of money in the coin box.
[Ai Tong Pr School of 2011]

My solution: