# Ratio Word Problems

#### Grade 6 Math Worksheets

Before proceeding to the Ratio Table, let’s define a Ratio.

A ratio is a comparison of two quantities. A proportion is an equality of two ratios.

The ratio can be represented in three different forms, such as:

- a to b
- a : b
- a/b

Here, “a” is the first term or antecedent, and “b” is the second term or consequent.

**Personalized Online Tutoring**

## Ratio Word Problems - Grade 6 Math Worksheet PDF

This is a free printable / downloadable PDF worksheet with practice problems and answers. You can also work on it online.

Sign up with your email ID to access this free worksheet.

### "We really love eTutorWorld!"

*"We really love etutorworld!. **Anand S and Pooja are excellent math teachers and are quick to respond with requests to tutor on any math topic!" - Kieran Y (via TrustSpot.io)*

### "My daughter gets distracted easily"

*"My daughter gets distracted very easily and Ms. Medini and other teachers were patient with her and redirected her back to the courses.*

* With the help of Etutorworld, my daughter has been now selected in *

*the*

**Gifted and Talented Program**for the school district"*- Nivea Sharma (via TrustSpot.io)*

Ratio can be expressed in many ways:

Ratio Fraction Decimal Percentage

2 : 5 2/5 0.4 40%

As given above, the ratios a:b and c:d are in proportion if ad = bc

The ratio should exist between the quantities of the same kind

Example : The ratio can be 32 cm : 54 cm and cannot be 32 cm : 54 kg

Multiplying or dividing each term of the ratio by the same number (non-zero) doesn’t affect the ratio.

Example: 4:9 = 8:18 = 12:27

If a/b = c/d then a : b :: c : d

Now, let’s learn Ratios that are used in real life situations with the help of word problems.

One word problem is best represented in the diagram given below:

*“**There have been times when we booked them last minute, but the teachers have been extremely well-prepared and the help desk at etutorworld is very prompt. *

*Our kid is doing much better with a higher score.**”*

### 6th Grade Tutoring

eTutorWorld offers **Personalized Online Tutoring** for Math, Science, English, and Standardised Tests.

Our Tutoring Packs start at just under** $21 per hour**, and come with a moneyback guarantee.

**Schedule a FREE Trial Session**, and experience quality tutoring for yourself. (No credit card required.)

**Example 1**

There are 8 red marbles, 4 blue marbles and 12 green marbles in a bag. Find the ratio of the following in simplified form

- a) blue to red marbles
- b) red to green marbles

(iii) blue to total marbles

**Solution:**

Total marbles in the bag = 8 + 4 + 12 = 24

Ratio of blue to red marbles = 4 : 8 = 1 : 2

Ratio of red to green = 8 : 12 = 2 : 3

Ratio of green to total = 4 : 24 = 1 : 6

**Example 2**

Gilbert works in a factory and earns $1600. He saves $250 per month. Find the ratio of

- a) his savings to his income
- b) his income to his expenditure

**Solution:**

Gilbert’s income = $1600

Gilbert’s savings : $250

Gilbert’s expenditure : 1600 – 250 = 1350

- a) Gilbert’s savings : his income = 250 : 1600 = 5 : 32
- b) Gilbert’s income : his expenditure = 1600 : 1350 = 32 : 27

**Example 3**

In a class test, 28 students out of 77 passed. Find the ratio between the

- a) passed students to the total number of students
- b) failed students to the passed students

**Solution:**

Total number of students = 77

Number of students passed = 28

Number of students failed = 49

- a) passed : total = 28 : 77 = 4 : 11
- b) failed : passed = 49 : 28 = 7 : 4

**Example 4**

If the ratio of boys and girls on the team is 2:5 and there are 21 girls, how many boys are there?

**Solution:**

Let number of boys be 2y

Number of girls will be 5y

Total number of boys and girls = 2y + 5y = 7y

Number of boys = 2y/7y x 21 = 6

### Do You Stack Up Against the Best?

If you have 30 minutes, try our free diagnostics test and assess your skills.

## FAQs

#### What are ratio word problems?

Ratio word problems are mathematical problems that involve describing and solving situations by comparing quantities using ratios. These problems are commonly encountered in real-life scenarios.

#### How do I approach solving ratio word problems?

When solving ratio word problems, it’s essential to understand the context of the problem, set up the appropriate ratio, and use this ratio to find the desired solution, often involving cross-multiplication.

#### What are some common types of ratio word problems?

Common types of ratio word problems include problems related to mixing solutions, sharing items among people, comparing prices, and determining proportions in recipes.

#### How do I interpret the given information in a ratio word problem?

To interpret the information, identify the quantities being compared and determine whether you need to find a missing quantity, determine the ratio, or make comparisons based on the given information.

#### How do I know if I need to simplify the ratio in a word problem?

You should simplify the ratio if the problem specifies the answer in its simplest form or if you want to make comparisons more accessible. Simplifying ratios involves dividing both parts by their greatest common factor.

**Gloria Mathew** writes on math topics for K-12. A trained writer and communicator, she makes math accessible and understandable to students at all levels. Her ability to explain complex math concepts with easy to understand examples helps students master math. LinkedIn

### Affordable Tutoring Now Starts at Just $21

eTutorWorld offers affordable one-on-one live tutoring over the web for Grades K-12. We are also a leading provider of Test Prep help for Standardized Tests (SCAT, CogAT, MAP, SSAT, SAT, ACT, ISEE, and AP).

What makes eTutorWorld stand apart are: flexibility in lesson scheduling, quality of hand-picked tutors, assignment of tutors based on academic counseling and diagnostic tests of each student, and our 100% money-back guarantee.

Whether you have never tried personalized online tutoring before or are looking for better tutors and flexibility at an affordable price point, schedule a **FREE TRIAL **Session with us today.

**There is no purchase obligation or credit card requirement*

## Grade 6 Science Worksheets

- Inquiry process
- Nature of Science
- Scientific Inquiry
- Inquiry, Analysis and Problem Solving
- Ethical Practices
- Science and Society
- Biotic and Abiotic Factors
- Impact of Organisms
- Adaptation
- Spheres of Earth
- Natural Resources
- Environmental Issues
- Conservation of Earth
- Understanding Technology
- Abilities To Do Technological Design
- Structure of Earth
- Solar System
- Rocks and Fossils
- Earth Systems
- Plate Tectonics
- Evolution
- Magnetic Field of Earth
- Geologic Time
- Materials and Processes That Shape a Planet
- Astronomy
- Ecology
- Energy
- Kinetic and Potential Energy
- Energy Transfer
- Matter and its Structure
- States of Matter
- Physical and Chemical Changes
- Force and Motion
- Electricity and Magnetism
- Wave Interactions
- Sound
- Light
- Introduction to Life Science
- The Origin & History of Life On Earth
- Plant and Animal Cells
- Parts of a Cell
- The Cell Cycle
- How Living Organisms Get Energy
- Classification of Organisms
- How Plants Grow & Reproduce
- The Human Respiratory System
- The Human Cardiovascular System
- The Human Digestive System
- The Human Endocrine Systems
- The Human Nervous System
- The Human Muscular System
- The Human Skeletal System

## IN THE NEWS

Our mission is to provide high quality online tutoring services, using state of the art Internet technology, to school students worldwide.

**Online test prep and practice**

SCAT

CogAT

SSAT

ISEE

PSAT

SAT

ACT

AP Exam

**Science Tutoring**

Physics Tutoring

Chemistry Tutoring

Biology Tutoring

**Math Tutoring**

Pre-Algebra Tutoring

Algebra Tutoring

Pre Calculus Tutoring

Calculus Tutoring

Geometry Tutoring

Trigonometry Tutoring

Statistics Tutoring

**Quick links**

Free Worksheets

Fact sheet

Sales Partner Opportunities

Parents

Passive Fundraising

Virtual Fundraising

Our Expert Tutors

Safe and Secure Tutoring

Interactive Online Tutoring

After School Tutoring

Elementary School Tutoring

Middle School Tutoring

High School Tutoring

Home Work Help

Math Tutors New York City

Press

©2022 eTutorWorld Terms of use Privacy Policy Site by Little Red Bird

©2022 eTutorWorld

Terms of use

Privacy Policy

Site by Little Red Bird