Percents - Proportion & Equation

Percent Equation & Proportion

Using the percent equation and percent proportion to solve word problems

Multiple Select

Which of the following represents the TWO correct percent proportions

• $\frac{whole}{part\ }=\frac{\%}{100}$

• $\frac{part}{whole}=\ \frac{\%}{100}$

• $\frac{is}{of}=\frac{\%}{100}$

• $\frac{of}{is\ }=\frac{\%}{100}$

Solving for the part

• There are 120 7th graders. 40% of them are girls. How many 7th grade girls are there?

•  $\frac{part}{120}=\frac{40}{100}$  

•  $40\%\ of\ 120\ =\ part\$  

Multiple Select

Last week I made a batch of cookies. The recipe makes 30 cookies. I ate 25% of them. How many cookies did I eat?

Select the TWO correct ways to set up this equation:

• $\frac{30}{whole}=\frac{25}{100}$

• $30\%\ of\ 25\ =\ part\$

• $\frac{part}{30}=\frac{25}{100}$

• $25\%\ of\ 30\ =\ part$

Finding the whole

• Over the weekend I read 48 pages of a book. That made up 60% of the entire book. How many pages are in the book?

•  $\frac{48}{whole}=\frac{60}{100}$  

•  $48\ is\ 60\%\ of\ how\ many\ pages?$  

Multiple Choice

Solve the following percent proportion to find the whole:

 $\frac{72}{w}=\frac{40}{100}$  

•  $w\ =\ 120$  

•  $w\ =\ 180$  

•  $w\ =\ 28.8$  

•  $w\ =\ 1.8$  

Finding the percent

• At my last basketball game, I made 16 out of 20 attempted shots. What percentage of shots did I make?

•  $\frac{16}{20}=\frac{\%}{100}$  

•  $16\ is\ what\ percent\ of\ 20?$  

Multiple Choice

You have been assigned 40 homework assignments this marking period. You have completed 18 of them. What percent of homework assignments have you completed?

• $50\%$

• $20\%$

• $45\%$

• $62\%$

Poll

In your opinion, which method is easier to solve percents?

• Percent Proportion
  
  $\frac{part}{whole}=\frac{\%}{100}$
  

• Percent Equation
  
  $part\ =\ whole\ \times\ \%$
  $\%\ =\ \frac{part}{whole}$
  
  $whole\ =\ \frac{part}{\%}$