Question

Write a proportion for the following problem. The salesman’s commission on a sale of $650 is $130. At the same rate, what is the commission on a sale of $1060?


Answers:


1060/650 = 130/x



1060/x = 130/650



130/x = 1060/650



650/1060 = 130/x

Answer 1

The ratio of the commission to the sale is constant. So, we can set up a proportion which follows this. In the first case, the sale is $650 and the commission is $130. So the ratio of commission to sale is:
\[\frac{ 130 }{ 650 }\]In the second case, let x be the commission and the sale price is $1060 so the commission to sale is:
\[\frac{ x }{ 1060 }\]Set these two fractions equal to solve for x.