Strong induction
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Suppose that a store offers gift certificates in denominations of25 dollars and 40 dollars. Determine the possible total amounts you can form using these gift certificates.
Prove your answer using strong induction.
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Solution Summary
Strong induction is integrated.
Solution Preview
It's an old problem, and the answer is that any amount above $140, which is divisible by 5 is available in gift certificates in 25 and 40 dollars.
The basis for the induction can start from $140, but let's determine all possible values of the expression 25x+40y below 160:
x ...
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