Welcome to Math Resource Center
This community site is built for students, teachers, and parents who share the same fun or troubles in learning the core of Mathematics. Resources in various forms are available for free and everyone is encouraged to explore the links to unlock the bounless opportunities for better Math learning.
Business Venture Problem
Investment Problem
A woman invested in two business ventures. Last 
year she made a profit of 15 percent from the first venture but lost 5 percent from the second venture.
If last year's income from the two investments was equivalent to a return of 8 percent on the entire amount invested, how much had she invested in each venture?
Stockholders' Profit Share
Profit Sharing
The profits of a business are shared among three stockholders. The first stockholder receives twice as much as the second and the second receives three times as much as the third. If the profits for last year were $26,400, how much did each stockholder receive?
Solution
This type of problem can be solved using equations in one variable only. This is possible since we can express one unknown value in terms of the other. Thus,
Let
Dime and Nickel
Dime and Nickel Problem
A parking meter coin slot receives dimes and nickels. When the meter box is emptied, there were 148 coins and a total of $10.65. How many dimes and how many nickels were there?
Movie Ticket Problem
Admission ticket to a motion picture theater were priced at $5 for adult and $3 for the student. 820 tickets were sold and the total receipts were $2860, how many of the each type of ticket were sold?
