When candies were distributed among seven people so that each person received the same number of candies and each person received as many candies as possible, there were 3 candies left over. If instead, candies were distributed among seven people in this way, then how many candies would have been left over?
Solution
Suppose that each of the 7 people received candies under the first distribution scheme. Then the people received a total of candies and 3 candies were left over. Since there were candies, then . Multiplying both sides by 3, we obtain . When candies were distributed to 7 people, each person could have received candies, accounting for candies in total, with 2 candies left over.
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