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Problems from Another Time

Individual problems from throughout mathematics history, as well as articles that include problem sets for students.

Three equal circumferences with radii 6" are tangent to each other. Compute the area enclosed between them.
A boy gives 11 coins of equal denomination to a man, and the man finds that their total value in yen is 4 less than his age.
Find two numbers, x and y, such that their sum is 10 and x/y + y/x = 25
There were two men, of whom the first had 3 small loaves of bread and the other, 2.
One person possesses 7 asavas horses, another 9 hayas horses, and another 9 camels. Each gives two animals away, one to each of the others.
What proportions of sugar at 8 cents, 10 cents and 14 cents per pound, will compose a mixture worth 12 cents per pound?
Suppose the area of an equilateral triangle be 600. The sides are required.
Fibonacci gave a practical rule for approximating the area of an equilateral triangle.
A four-sided town measures 1100 feet on one side and 1000 feet on the other side, on one edge 600 and the other edge 600.
Gun metal of a certain grade is composed of 16% tin and 84% copper. How much tin must be added to 410 lbs. of this gun metal to make a composition of 18% tin?

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