To win a contest, the number of beans in a jar

Algebra
Tutor: None Selected Time limit: 1 Day

Jun 12th, 2015

Thank you for the opportunity to help you with your question!

Let the guessed value be x.

Actual number of beans = 645

Maximum difference allowed between guessed number and actual number  = 20

So, the maximum guess is

645 + 20 = 665

645 = 665 - 20

Replace 665  with x  since it is the guessed value

645 = x - 20

20 = x - 645

x - 645 = 20 ---(1) 


Minimum guess is

645 - 20 = 625

645 = 625 + 20

Replace 665  with x  since it is the guessed value

645 = x + 20

645 - x = 20

-(x - 645) = 20 ---(2)


Combining equations (1) and (2) we get

|x - 645| = 20

So, the above equation can be used to find the minimum and maximum number of beans that will win the contest.


ANSWER:   |x - 645| = 20 ; maximum guess 665 beans



Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 12th, 2015

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