Using proportions, we can say that 42 models of 100 are needed to model 4200.
Ratio and fractions are the main bases on which proportion is explained. A fraction is written as a/b, while a ratio is represented as a:b, and a proportion states that two ratios are equal. In this case, a and b can be any two integers. The ratio and proportion are important building blocks for understanding the numerous ideas in science and mathematics.
In the question, we are asked for the number of models of 100 we need to model 4200.
The given problem can be shown as a proportion with the ratio of the number of models of 100, to the model.
We know that 1 model of 100 makes a model 100.
We assume that n models of 100 makes a model 4200.
By proportion, we can show that:
n/4200 = 1/100,
or, n = 4200/100,
or, n = 42.
Thus, using proportions, we can say that 42 models of 100 are needed to model 4200.
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