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
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