How can you use proportional reasoning to solve problems involving percent?
Example A, Step 1: Write a comparing the percent to the ratio of part to whole. ex- ?/25 = 28/100 Notice that 25 is a factor of 100 Step 2: Find the multiplication factor. ex- ?4 = 28 and 254 = 100 Since 254 = 100, find what number times 4 equals 28 Step 3: Find the numerator. ex- 7/25 = 28/100 Since 47 = 28, 28% of 25 = 7 Example B, Step 1: Write the percent as a fraction. ex-35% of 60 = 35/100 of 60 Step 2: Multiply. ex- 35/100 of 60 = 35/100x60=2100/100=21 Simplify Example C, Step 1: Write the percent as a decimal. ex- 5% = 5/100 = 0.05 Step 2: Multiply. ex- 180 0.05 = 9, 5% of 180 is 9.
I will explain this by taking a Question.
A number x is equal to k% of a number y.
⇒So, if write it's answer in the form of equation
\(\rightarrow x=\frac{k}{100}\times y\\\\ \rightarrow \frac{x}{y}=\frac{k}{100}\\\\\rightarrow \frac{x}{y}=0.0k\)
⇒Here, I have used Proportional relationship between x and y, in which, 0.0k is Proportionality Constant.