Enrichment problem
(1) Find the number
What number, between 1 and 10, when divided by 4, yields the same answer as when you subtract 4 from it?
(Hint: This strange number is not a whole number)
(2) Profit and Loss
When Calvin Collectible opened his Antiques Shoppe some 20 years ago, these two statuettes were proudly displayed in the front window. Up until last week, they were still there. Then in two days, he sold the first one for $198 and made a 10 percent profit on it, and then sold the second one for $198 and took a 10 percent loss on it. Taken together, did Calvin make profit on the two sales or did he sustain a loss?
Source:
Educational media
Friday, April 28, 2006
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Answer:
(1)
x/4 = x – 4 x = 16/3 = 5 1/3
(2)
With the first statue, he made 1/11 x $198 = $18.
With the second statue, he lost 1/9 x $198 = $22.
So, he sustained a loss of $4.
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