FOR CHILDREN

PROBLEM # 1
Glenn and Jason each have a collection of cricket balls. Glenn said that if Jason would give him 2 of his balls they would have an equal number; but, if Glenn would give Jason 2 of his balls, Jason would have 2 times as many balls as Glenn. How many balls does Jason have?

FOR GROWNUPS

PROBLEM # 2
A kite flies at a constant altitude of 400 feet. The kite is being blown horizontally at a rate of 10 feet/second away from the person holding the string at ground level. At what rate is the string being payed out when  500 feet of string is already out?

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SOLUTIONS TO PROBLEMS ON 06/15/06

FOR CHILDREN

PROBLEM # 1
I have a miniature Pyramid of Egypt. It is 5  inches in height. I was invited to display it at an exhibition. I felt it was too small and decided to build a scaled-up model of the Pyramid out of material whose density is (1/ 10) times the density of the material used for the miniature. I did a quick calculation to check whether the model would be big enough. If the mass (or weight) of the miniature and the scaled-up model are to be the same, how many inches in height will be the scaled-up Pyramid? Give your answer to two places of decimal.

SOLUTION
10.77.

FOR GROWNUPS

PROBLEM # 2
The six terms 2x-3, t, 7-12y, x+3, 3y-4, x+12 are in arithmetic sequence. Find the ordered triple (x,y,t).

SOLUTION
(-15/2, 4/3, -27/2). 

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