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The Cloak

Math brain teasers require computations to solve.


Puzzle ID:#1868
Fun:*** (2.39)
Difficulty:** (1.81)
Submitted By:missie***




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?

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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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