1. 2=1 problem:
Given:
a = b
Multiply by a:
a2 = ab
Subtract b2
a2 - b2 = ab - b2
Factor:
(a + b)(a - b) = b(a - b)
Divide (a - b): (a + b) = b
Substitute the given:
a + a = a
Simplify:
2a = a
Divide by a:
2 = 1
2. Where is one dollar? (part 1)
Three business executives eat lunch in a restaurant. They estimate that the bill should come to $30. They split the bill 3 ways and pay 10 dollars each. When the actual bill comes, it is $25. Since this is not divisible by three, they each take a dollar back and leave the extra two dollars tip for the waiter. Since each paid nine dollars and nine times three is 27, plus two for the waiter is 29. Where did the other dollar go?
3. Where is one dollar? (part 2)
A restaurant manager bought two piles of oranges from a suppliers at different time. In the morning the supplier wants $10 for thirty oranges, or three for a dollar. In the afternoon, the same supplier wants $15 for 30 oranges for, or two for a dollar. The manager decides to count all sixty at five for two dollars. After multiplying by twelve, sixty oranges cost only $24, but he needed $25 dollars for the suppliers. Where is the other dollar?
4. Where is the unit?
Wilson
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ICQ 2417224