Difference between revisions of "2021 JMPSC Sprint Problems/Problem 6"
Line 11: | Line 11: | ||
-OofPirate | -OofPirate | ||
+ | |||
+ | |||
+ | |||
+ | ==See also== | ||
+ | #[[2021 JMPSC Sprint Problems|Other 2021 JMPSC Sprint Problems]] | ||
+ | #[[2021 JMPSC Sprint Answer Key|2021 JMPSC Sprint Answer Key]] | ||
+ | #[[JMPSC Problems and Solutions|All JMPSC Problems and Solutions]] | ||
+ | {{JMPSC Notice}} |
Latest revision as of 16:13, 11 July 2021
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.