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3. suppose there is a country in which the only currency...

# 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>=...."