# Numismatist Hands Out Cash

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?

### 5 guesses to Numismatist Hands Out Cash

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• Frank

980

• Brent

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.

• trevor

its 980

• 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.