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 x = 21/3 x 2 - 11 or x = 14 - 11.
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.
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 x = 21/3 x 2 - 11 or x = 14 - 11.
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