Posted by admin | Posted in Cartoon Collectables | Posted on 03-12-2007
Tags: bookmark, coins, earringa, magicopinion, shopping
How many coins left? In my purse I had some pennies, dimes, and Sacagawea dollar coins, total 16 coins…?
In my purse I had some pennies, some dimes, and some Sacagawea dollar coins, total 16 coins. And I went to a candy store, and I saw that all candies were equally priced. Altogether they had 36 varieties of candies, and picked one candy of each variety, and paid with my coins.
How many coins left?
I’m assuming you had exact change to pay for the candy.
This is actually an interesting problem in mod arithmetic. The numbers 1, 10, 100 (corresponding to penny, dime, and dollar) all equal 1 in mod 9. So, with 16 coins, the mod 9 total of your coins is 7.
Now, 36 = 0 mod 9. So after buying the candy, the coins in your pocket will still total 7 mod 9. Since you can’t still have 16 coins, the number left is 7, as this is the only number less than 16 which is 7 mod 9 .
paul wilson – coins in purse
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