The equation that the owner of a go-kart racetrack would use to determine x, the number of additional racers she should purchase in order to achieve the desired ratio of 2:3 is <u>x = 21/3 x 2 - 11</u> or <u>x = 14 - 11</u>.
<h3>What is an equation?</h3>
An equation shows the state of equality between two expressions. In mathematics, it shows that the two sides are equal after solving the various unknown variables.
<h3>Data and Current possessions:</h3>
The desired ratio of red racers for green mini-trucks = 2:3
Red racers = 11
Mini-trucks = 21
To achieve the desired ratio, the red racers must be 14 racers against 21 mini-trucks, which gives a 2:3 ratio.
Thus, since there are 11 red racers, an additional 3 are required, and the equation required to achieve this ratio is <u>x = 21/3 x 2 - 11</u> or <u>x = 14 - 11</u>.
Learn more about equations at brainly.com/question/2972832
