PROBLEM # 1
Evaluate 2a-(4*(b-3*(a-2xb-2a))-10*(3b-5a))

PROBLEM #2
Two ladders are placed cross-wise in an alley to form a lopsided X-shape.  The walls of the alley are not quite vertical, but are parallel to each other.  The ground is flat and horizontal.  The bottom of each ladder is placed against the opposite wall.  The top of the longer ladder touches the alley wall 5 feet vertically higher than the top of the shorter ladder touches the opposite wall, which in turn is 4 feet vertically higher than the intersection of the two ladders.  How high vertically above the ground is that intersection? (Figure 1)

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Problems from 10/27/11

PROBLEM # 1
A boy has four red marbles and eight black marbles.  He arranges his twelve marbles randomly, in a ring.  What is the probability that no two red marbles are adjacent?

SOLUTION 1
 

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