FOR CHILDREN

PROBLEM # 1
What is the point of intersection of two straight lines represented by x+2y=4 and x+3y=5?

FOR GROWNUPS

PROBLEM # 2
The vertices of a 3-4-5 right triangle are the centers of three mutually externally tangent circles. What is the sum of areas of these circles.

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SOLUTIONS TO PROBLEMS ON 01/11/07

FOR CHILDREN

PROBLEM # 1
A student buys 13 pencils and 3 erasers for $1.00. A pencil costs more than an eraser, and both items cost a whole number of cents. What is the total cost, in cents, of one pencil and one eraser.

SOLUTION
10 cents.

FOR GROWNUPS

PROBLEM # 2
Circles with centers (2,4) and (14,9) have radii of 4 and 9, respectively. The equation of a common tangent to the circles can be written n the form of  y=mx+b with m>0. What is b?

SOLUTION 
7.66. 

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