Coin Problems
In coin problems, one or more coins are present in the problem statement. In addition, one or
more of the following types of statements are usually present.
· The total value of the coins is given.
· In this case the following
equation results:
· GivenValue = ValueOfCoin1
* NumberOfCoin1 + ValueOfCoin2 *
NumberOfCoin2 + …
· For example, if there
are nickels and dimes whose value is $4.80,
4.80 = .05N + .25Q where N represents the number of nickels and
Q the
number of quarters.
· The total value of the coins is to
be found in this case, TotalValue = .05N +
.25Q where N represents the number of nickels and Q the number of
Quarters.
· The total number of coins is given.
· Example: A bag contains
48 nickels and quarters.
· The resulting equation
is 48 = N+Q
· One or more relationships between
the number of each type of coin is given
· Example: There are
twice as many nickels as dimes.
· The resulting equation
is N = 2D