Please Help with Algebra Word Problem
Favorites|Homepage
Subscriptions | sitemap
HOME > > Please Help with Algebra Word Problem

Please Help with Algebra Word Problem

[From: ] [author: ] [Date: 12-01-05] [Hit: ]
After buying a five cent candy, Mr. Jones discovered he now has exactly twce as much money as his original check.What was the amount of the check?Thank you!I appreciate the help!......
Please explain how to solve this problem.

A bank teller accidentally switches the dollars and cents when he cashed a check for Mr. Jones, giving him dollars instead of cents, and cents instead of dollars, After buying a five cent candy, Mr. Jones discovered he now has exactly twce as much money as his original check. What was the amount of the check?

Thank you! I appreciate the help!

-
Let d be the dollar amount of the check and
c be the cents amount of the check

The value of the check, v = d + c/100
The money provided by the teller to Mr. Jones, t = c + d/100

t - 0.05 = 2v { After buying a five cent candy, Mr. Jones discovered he now has exactly twice as much money as his original check. }

Substituting for t and v:
(c + d/100) - 0.05 = 2(d + c/100)
(100c + d) - 5 = 2(100d + c)
100c + d - 5 = 200d + 2c
98c - 5 = 199d

c and d must both be non-negative integers and 0 <= c <= 99.

I know there is something you can exploit to make it easy to find the final solution, but I can't remember what it is. By trial and error (a spreadsheet made it easy) I found c = 63 and d = 31. The check was for $31.63.

-
$5.20
1
keywords: Problem,Word,Help,with,Algebra,Please,Please Help with Algebra Word Problem
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .