# Question: suppose there is a country in which the only currency...

###### Question details

Suppose there is a country in which the only currency is $3 coins and $5 coins.

(a) construct a table to show how the amounts of money from $1 to $15 (in whole dollars) can be made using only $3 and $5 coins. Note that some amounts are impossible to achieve.

b) Complete the following statement, then prove by induction: "Using only $3 and $5 coins, it is possible to make $n for all integers n>=...."