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Chapter 5Ratio and Proportion

Chapter Outline

- Ratios
- Rates
- Proportions
- Proportions and Problem Solving

5.1

- Ratios

Section Objectives

- Writing Ratios as Fractions
- Writing Ratios in Simplest form

Writing Ratios as Fractions

EXAMPLE

Write the ratio of 7 to 12 as a fraction.

SOLUTION

Remember that order is important while writing

ratios.

is not the same as

Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC

COLLEGE MATHEMATICS, 3e Slide 5

Writing Ratios in Simplest Form

EXAMPLE

Write the ratio 25 to 150 as a fraction in its

simplest form.

SOLUTION

Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC

COLLEGE MATHEMATICS, 3e Slide 6

5.2

- Rates

Section Objectives

- Writing Rates as Fractions
- Finding Unit Rates
- Finding Unit Prices

Writing Rates as Fractions

Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC

COLLEGE MATHEMATICS, 3e Slide 9

Finding Unit Rates

EXAMPLE

Write 275 miles in 11 hours as a unit rate.

SOLUTION

Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC

COLLEGE MATHEMATICS, 3e Slide 10

Finding Unit Prices

EXAMPLE

Find the unit price of 0.87 for 3 apples.

SOLUTION

Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC

COLLEGE MATHEMATICS, 3e Slide 11

5.3

Proportions

Section Objectives

- Writing Proportions
- Determining Whether Proportions Are True
- Finding Unknown Numbers in Proportions

Writing Proportions

Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC

COLLEGE MATHEMATICS, 3e Slide 14

Determining Whether Proportions Are True

EXAMPLE

Determine whether is a true

proportion by cross multiplying.

SOLUTION

Since the cross products are not equal,

are not equivalent proportions.

Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC

COLLEGE MATHEMATICS, 3e Slide 15

Finding Unknown Numbers in Proportions

Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC

COLLEGE MATHEMATICS, 3e Slide 16

5.4

Proportions and Problem Solving

Section Objectives

- Solving Problems by Writing Proportions

Solving Problems by Writing Proportions

EXAMPLE

There are 76 milligrams of cholesterol in a

3-ounce serving of skinless chicken. How much

cholesterol is in 8 ounces of chicken? (Source

USDA)

SOLUTION

There are milligrams of cholesterol in a

3-ounce serving of skinless chicken.

Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC

COLLEGE MATHEMATICS, 3e Slide 19

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