6.5 Solve proportions and their applications (Page 4/12)

Prealgebra

Page 4 / 12

For example, $60% = \frac{60}{100}$ and we can simplify $\frac{60}{100} = \frac{3}{5} .$ Since the equation $\frac{60}{100} = \frac{3}{5}$ shows a percent equal to an equivalent ratio, we call it a percent proportion . Using the vocabulary we used earlier:

\frac{amount}{base} = \frac{percent}{100}

\frac{3}{5} = \frac{60}{100}

Percent proportion

The amount is to the base as the percent is to $100 .$

\frac{amount}{base} = \frac{percent}{100}

If we restate the problem in the words of a proportion, it may be easier to set up the proportion:

The amount is to the base as the percent is to one hundred.

We could also say:

The amount out of the base is the same as the percent out of one hundred.

First we will practice translating into a percent proportion. Later, we’ll solve the proportion.

Translate to a proportion. What number is $75%$ of $90 ?$

Solution

If you look for the word "of", it may help you identify the base.

Identify the parts of the percent proportion.
Restate as a proportion.
Set up the proportion. Let $n = number$ .	$\frac{n}{90} = \frac{75}{100}$

Identify the parts of the percent proportion.
Restate as a proportion.
Set up the proportion. Let $p = percent$ .	$\frac{9}{27} = \frac{p}{100}$

Identify the parts of the percent proportion.
Restate as a proportion.
Set up the proportion. Let $n =$ number.
Find the cross products and set them equal.
Simplify.
Divide both sides by 100.
Simplify.
Write a complete sentence that answers the question.	36 is 45% of 80.
Check if the answer is reasonable.	Yes. 45 is a little less than half of 100 and 36 is a little less than half 80.

	30 Biology 30 Plant Form and Physiology MCQ By OpenStax Start Quiz
	Negotiations Conflict Management BUS403 By Charles Jumper Start Quiz
	3 Week 3 Social Psych By Yacoub Jayoghli Start Quiz
	3 Microeconomics 03 Demand Supply By OpenStax Start Flashcards
	19 AP 19 Cardiovascular System Heart Essay By OpenStax Start Flashcards
	5 Psychology MCQ 2010 1 Exam By John Gabrieli Start Exam
	3 Enterprise Java Design Patterns By JavaChamp Team Start Quiz
	Concepts of biology By OpenStax Read Online Course
	11 AP Key Terms 11 The Muscular System By OpenStax Start Key Terms
	Statistics Final Review By Madison Christian Start Exam

6.5 Solve proportions and their applications (Page 4/12)

Percent proportion

Solution

Solution

Solution

Translate and solve percent proportions

Solution

Solution

Read also:

Get Jobilize Job Search Mobile App in your pocket Now!