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Printjmc
number theory junior
Problem
Linda, Sherry, June, and Connie walked around their neighborhoods selling girl scout cookies. Linda earned \27.47\, June earned \37.37\. After the sale, they pooled their money together and went to the bank to convert the coins into dollars. How much money, in cents, was left after they converted as many of the coins into bills as they could?
Solution
Instead of adding large numbers together, we can find the residue for each person for easier computation. We convert the amount they earned to cents and find the modulo for each. We want to find the modulo of the total number of cents. We can add the separate residues to get Therefore, they have cents left after converting as much of the money into bills as possible.
Final answer
59