# Solved Problems

# Business Venture Problem

Submitted by JM on Mon, 08/10/2009 - 23:20**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

Submitted by JM on Tue, 08/04/2009 - 15:23**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

Submitted by JM on Tue, 08/04/2009 - 11:30**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? **Read more »**

# Movie Ticket Problem

Submitted by JM on Wed, 07/29/2009 - 14:18Admission 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?

# Geometry Problem - Triangles

Submitted by JM on Wed, 07/29/2009 - 12:39**The longest side of a triangle is twice as long as the shortest side** and **2 feet longer than the third side**. If the **perimeter of the triangle is 33 feet**, what is the length of each side? **Read more »**