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
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