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 $60 dimes.
The value of$ (Error compiling LaTeX. Unknown error_msg)4040\cdot 0.05=2.00
60
60 \cdot 0.10=6.00
6$dollars.
Therefore, Luis has a total of$ (Error compiling LaTeX. Unknown error_msg)6+2$$ (Error compiling LaTeX. Unknown error_msg)=$$ (Error compiling LaTeX. Unknown error_msg)\boxed{8}$ dollars total in dimes and nickels.