Posted by **Christy** on Tuesday, September 15, 2009 at 1:17am.

Consider the following students’ methods of solving the

Proportion 8/5 = 20/x and determine whether the methods

were correct:

Richie: First I divided 20 by 8 and got 2 1/2 Then I

multiplied by 5 and got 12 ½ for my answer.

Martha: I think of it this way. Every time a person

takes 8 steps, another person takes 5 steps. So 16 steps

correspond to 10 steps, and 24 steps correspond to 15

steps. As 20 is halfway between 16 and 24, I reasoned

that the answer was halfway between 10 and 15. I got

12 ½ for the answer.

Explain your reasoning.

I feel that both methods were correct in determining the answer, they were both based on comparison, the first one cross multiplied where the second one used equivalent ratios ?

Is that correct ? am I wrong or missing something ?

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