A numismatist decides to divide his coin collection between his children.
The eldest gets 1/2 of the collection, the next gets 1/4, the next gets 1/5, and the youngest gets the remaining 49 coins.
How many coins are in the collection?


Numismatist Hands Out CashA numismatist decides to divide his coin collection between his children. The eldest gets 1/2 of the collection, the next gets 1/4, the next gets 1/5, and the youngest gets the remaining 49 coins. How many coins are in the collection? 5 guesses to Numismatist Hands Out Cash 

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980
I agree with Frank, and if these coins are “bit coins” at todays exchange rate the 980 total fortune would be worth 980 x $1089 = $1,067,220 US dollars.
its 980
980 coins
Frank, you are the winner!
There are 980 coins in the collection. To check this we add: 1÷2 + 1÷4 + 1÷5 + 49 this works out as 490 + 245 + 196 + 49 = 980, as required. To work the answer out from the question, we observe that: 1÷2 + 1÷4 + 1÷5 = 19÷20 and we know that there were 49 coins left, so 1÷20 of the collection is 49 coins. Which means that the entire collection is 20 x 49 = 980 coins.