2021 JMPSC Sprint Problems/Problem 6
Problem
Luis has coins that are all either nickels or dimes. If the probability of randomly picking a nickel from these coins is how much money does Luis have in dollars?
Solution
The probability in which a random choosing of a coin from a pool of coins bringing out a nickel is . Multiplying the fraction by , we get , or coins out of . This means that there are nickels, and dimes.
The value of nickels is: , or two dollars. On the other hand, the value of dimes is: , or dollars.
Therefore, Luis has a total of dollars total in dimes and nickels.
-OofPirate
See also
The problems on this page are copyrighted by the Junior Mathematicians' Problem Solving Competition.