The owner of a go-kart racetrack would like to have a ratio of 2 red racers for every 3 green mini-trucks. The racetrack currently has 11 red racers and 21 mini-trucks. Which equation could she use to determine x, the number of additional red racers she should purchase in order to achieve the desired ratio?

Question

03-03-2022
Business

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The owner of a go-kart racetrack would like to have a ratio of 2 red racers for every 3 green mini-trucks. The racetrack currently has 11 red racers and 21 mini-trucks. Which equation could she use to determine x, the number of additional red racers she should purchase in order to achieve the desired ratio?

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anthougo anthougo · Answer 1 · 2022-03-04T11:21:53+01:00

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.

What is an equation?

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.

Data and Current possessions:

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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