Math brain teasers require computations to solve.
A butler is promised $100 and a cloak as his wages for a year. After 7 months he leaves this job, and receives the cloak and $20 as his payment. How much is the cloak worth?
Jun 30, 2004
|this makes absolutely no sense. According to the riddle as stated, the cloaks's worth is never discussed.|
May 18, 2006
|can someone please explain how|
Jun 02, 2006
|ok, i finally figured out how:|
12 months wage = 100 + c (where c stands for cloak)
Then 7 months wage is equal to
7 * (100 + c)/12
This has been given as equal to c + 20.
So, 7 * (100 + c)/12 = c + 20
solving this equation for c gives the cost of cloak as $92.
Jul 28, 2007
|This is similar to another teaser on here; I prefer another way of solving it...|
The last 5 months are worth $80 (difference between 12 months pay and 7 months pay), which is $16 per month. Therefore, the first 7 months are worth 7*16=$112. For this he was given the cloak and $20, so the cloak is worth $92. I find this much simpler than the algebra
Feb 12, 2009
|I did it the same as leftclick. Algebra is soooo overused in the solutions on Braingle when a little common sense gives a much easier way to solve the problem. What are they teaching in school these days? |
Apr 20, 2009
|I second lefty! I third Java!! |
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