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The Cloak

Math brain teasers require computations to solve.

 

Puzzle ID:#1868
Fun:*** (2.39)
Difficulty:** (1.81)
Category:Math
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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Comments

agenteasy
Jun 30, 2004

this makes absolutely no sense. According to the riddle as stated, the cloaks's worth is never discussed.
dishuAin*
May 18, 2006

can someone please explain how
dishuAin*
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.
leftclickAau*
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
javaguru*us*
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?
Jimbo*au*
Apr 20, 2009

I second lefty! I third Java!!

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