If 7 men have seven wives and each man and each wife have seven children, what is the total number of people?

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Let's break down this problem step by step. We have 7 men, each with 7 wives, and both men and wives have children. We need to carefully count each group to find the total number of people. Now let's calculate step by step. We have 7 men. Each man has 7 wives, so that's 7 times 7 equals 49 wives. The key insight is that each man AND each wife has 7 children. So we have 56 parents in total, and each parent has 7 children, giving us 392 children. The total is 7 plus 49 plus 392 equals 448 people. The answer is 448 people in total. This includes 7 men, 49 wives, and 392 children. The key to solving this problem correctly was understanding that both men and wives are parents who have children.