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Here is the problem: The gift shop placed an order for 42 t-shirts. They ordered 3 times as many large t-shirts as small t-shirts and twice as many medium t-shirts as small t-shirts. How many of each size did they order?

The first side of a triangle is 7 cm shorter than twice the second side. The third side is 4 cm longer than the first side. The perimeter is 80. Find the length of each side.

Find two consecutive integers such that the sum of their squares is 61. (The object is not to play with various consecutive-integer combinations until coming up with the solution (which is five and six) but to decide what the unknown (x,say) should represent, develop...