# The price of a video game is $30.26. If you purchase the video game for$35.60 with a coupon, what percent of the original price did you pay for the game?

Feb 17, 2018

$117.65$

#### Explanation:

You can easily solve such type of questions by replacing English words with their algebraic equivalents to create the equation. For e.g.:

• what can be replaced by any variable; let's take 'w'
• percent can be replaced by % OR 1/100 OR x${10}^{-} 2$
• of can be replace by multiplication sign i.e. x
• helping (auxiliary) verbs such as is/am/are, was/were, will, do/does, did, has/have/had etc. can be replaced with equals to sign i.e. $=$

So, the equation will become:

$\frac{w}{100} \cdot$ original price $=$paid for the game
w/100*$30.26=$35.60
w=($35.60)/($30.26)*100
$w = 117.65$