testing header
Math Goodies is a free math help portal for students, teachers, and parents.
Free Math
Newsletter
 
 
Interactive Math Goodies Software

Buy Math Goodies Software
testing left nav
Math Forums @ Math Goodies
Math Forums @ Math Goodies
Home | Profile | Active Topics | Members | Search | FAQ
Username:
Password:
Save Password
Forgot your Password?

 All Forums
 Homework Help Forums
 Standardized Test Preparation Help
 algebraic expressions
 New Topic  Reply to Topic
 Printer Friendly
Author Previous Topic Topic Next Topic  

mingshum
Senior Member

USA
29 Posts

Posted - 02/28/2009 :  20:16:00  Show Profile  Reply with Quote
To celebrate a colleague's graduation, the m coworkers in an office agreed to contribute equally to a catered lunch that costs a total of y dollars. If p of the coworkers fail to contribute, which of the folloing represents the additional mount, in dollars, that each of of the remaining coworkers must contribute to pay for the lunch?

The answer is py/m(m-p)

I tried to substitute numbers in place of the variables but couldn't come up with the above answer.
Go to Top of Page

skeeter
Advanced Member

USA
5634 Posts

Posted - 03/01/2009 :  13:25:59  Show Profile  Reply with Quote
m workers

if all m paid, y/m = cost per worker

but, there are p deadbeats ...

(m - p) payers

y/(m - p) = cost per payer

additional cost is y/(m - p) - y/m

common denominator ...

ym/[m(m - p)] - y(m - p)/[m(m - p)]

[ym - y(m - p)]/[m(m - p)]

[ym - ym + yp]/[m(m - p)]

yp/[m(m - p)]
Go to Top of Page

mingshum
Senior Member

USA
29 Posts

Posted - 03/01/2009 :  17:47:07  Show Profile  Reply with Quote
Thank you for your clear explanation laced with humor!
Go to Top of Page
  Previous Topic Topic Next Topic  
 New Topic  Reply to Topic
 Printer Friendly
Jump To:
Math Forums @ Math Goodies © 2000-2004 Snitz Communications Go To Top Of Page
This page was generated in 0.03 seconds. Snitz Forums 2000
testing footer
About Us | Contact Us | Advertise with Us | Facebook | Blog | Recommend This Page




Copyright © 1998-2014 Mrs. Glosser's Math Goodies. All Rights Reserved.

A Hotchalk/Glam Partner Site - Last Modified 18 Dec 2014