Please include brief explanation and show of work. Find the question in the attachment below.

13. [12] Jupiterians have only two kinds of coins: coins with value 4 cents and coins with value 5 cents. (a) Using trial and error, make an educated guess at the smallest number a. E N such that every amount 11 2 a can be paid using solely Jupiterian coins. (b) Write a proof by induction (not strong induction) that every amount n 2 a, can indeed be paid with J upiterian coins