## Percentage Problems

There are nine variations on the three basic problems involving percentages. See if you can match your problem to one of the samples below. The problem formats match the input fields in the calculator above. Formulas and examples are included.

Look up the percent problem variations.

**YOUR QUESTION IS**

**A furniture store advertises a 40% off liquidation sale on all items. What would the sale price be, p, on a $2530 dining room set? Write an equation.**

In mathematics, an equation is a statement that asserts the equality of two expressions. The word equation and its cognates in other languages may have subtly different meanings; for example, in French an equation is defined as containing one or more variables, while in English any equality is an equation.

An equation has **operators** and an **= sign**

There is a difference between an **expression** and an **equation**

Given

Price = 2530

Final Sale Price = 40% of 2530 or % of Price

Final Price = Price - % off

Final Price = ( 2530 ) - ( 40/100 × 2530 )

Final Price = 2530 - 1012

Final Price = $1,518.00

Remember the **formula** for **finding** the **discount** price of an item. Where S = sale price, r = **discount** percentage rate and p = original price, the **discount formula** is: S = p - rp.

Let us substitute

S = P - rP

S = 2530 - (40/100 ) ( 2530 )

S = 2530 - 1012

S = 1518

S = $1518

S = P - rP

is one equation