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Problem 1: Kathy is a manicurist. She earns $200 each week plus $5 commission on each manicure. If this week she earned $270, how many manicures did she do?

Problem 2: One number is 5 more than another number. Their sum is 15 . What are the numbers?

Problem 3: The perimeter of a triangle is 24 inches. The longest side is 4 more than the middle side, and the smallest side is half the length of the middle side. What are the lengths of the sides of the triangle?