Banners at the school store were on sale for $2 off the regular price. Claude bought 6 banners on sale and paid a total of $18. Write and solve an equation to find the regular price of one banner

Mathematics · Middle School · Mon Jan 18 2021

Answered on

Given the statement:

Banners at the school store were on sale for $2 off the regular price. Claude bought 6 banners on sale and paid a total of $18.

Write and solve an equation to find the regular price of one banner.

Solution:

Let x = price

The given statement can be represented as,

6x - 2 = 18

In order to determine the original price, we simply solve for x. To do so transpose -2 on the other side of the equation, hence in transposing a number, the sign changes.

6x - 2 = 18

6x = 18 + 2

6x = 20

Divide both sides by 6 in order to cancel out 6x leaving behind x.

6x/6 = 20/6

x = 20/6

x = $3.33…

Final answer:

x = $3.33…