SOLUTION: Your company has decided to create three different mobile applications: Snaplink � a SmrtPhone application that offers a suite of social networking services Pento � an ePhone

Question 284336: Your company has decided to create three different mobile applications:
Snaplink � a SmrtPhone application that offers a suite of social networking services
Pento � an ePhone application that stores information on every aspect of your life
Tap � an IntellaPhone application that allows users to share information between phones by physically �bumping� them together.
To create these applications it takes a team that consists of 1 computer programmer, 1 graphic artist, and 1 mathematician.
Snaptu takes the programmer 20 hours, the graphic artist 15 hours and the mathematician 5 hour to complete.
Bento takes the programmer 8 hours, the graphic artist 12 hours and the mathematician 6 hours.
Bump takes the programmer 14 hours, the graphic artist 7 hours and the mathematician 14 hours.
If the total cost for creating Snaptu is $750, Bento is $490 and Bump is $735, find the pay rates for the programmer, graphic artist and mathematician for completing the applications. Set up the system of equations and use any preferred method for solving. Be sure and check your results.

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
This problem is under the gross misconception that pay is related to time required. And that each project pays the same. Totally unreal.
Snaptu takes the programmer 20 hours, the graphic artist 15 hours and the mathematician 5 hour to complete.
Bento takes the programmer 8 hours, the graphic artist 12 hours and the mathematician 6 hours.
Bump takes the programmer 14 hours, the graphic artist 7 hours and the mathematician 14 hours.
If the total cost for creating Snaptu is $750, Bento is $490 and Bump is $735,
We have three unknowns and three equations.
20p+15g+5m=750
8p+12g+6m=490
14p+7g+14m=735
g = 15, m = 25, p = 20
check
To check plug in the appropriate numbers in the three equations and see if they are equal
20*20+15*15+5*25=750
400 +225+125=750
750=750
ok
to be thorough you should check all three equations

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