# Ratio Word Problem Worksheets

What is the Ratio? Generally, ratios are defined as a way to compare things. We can understand how the two or more things relate to each other and find out which is better than the other. In mathematics, however, ratios are used to compare two or more numbers that signify their related sizes. In ratio, two numbers are compared by using division. The number that is being divided is known as the antecedent, and the number that is dividing the term is known as the consequent. We can write ratios in different ways. One of the most common ways to write the ratio is by separating the quantities in comparison by using a colon. We can also write ration in the form of fractions. The ratio can be written in the form of decimals as well For example, you surveyed a group of 12 people. You found out that 7 of them prefer cookies, and 5 of them prefer eating cakes. To represent this dataset, you will write the ratio s 7:5 with 7 being the antecedent and 5 being the consequent. We can write this ratio in the form of a fraction, 7/5, and in the form of decimals, 1.4.

• ### Basic Lesson

Demonstrates how to outline Ratio Word Problems. Example: If the ratio of red balls to blue balls is 1 to 9 and there are total 90 balls, how many of them are red?

• ### Intermediate Lesson

Uses slightly larger sentences and numbers than the basic lesson. Example: If the ratio of yellow flowers to red flowers in a basket is 5 to 7 and there are total 108 flowers, how many of them are red?

• ### Independent Practice 1

Contains a series of 20 Ratio Word Problems. The answers can be found below. Example: If two out of every ten individuals in a population carry a gene for an enzyme, how many individuals carry that gene in the population of 600?

• ### Independent Practice 2

Features 20 Ratio Word Problems. Example: Tom picked 2 green jackets and 5 blue jackets. Megan picked 6 green jackets and some blue jackets. The ratio of green jackets to blue jackets picked by Tom and Megan were the same. Determine how many blue jackets Megan picked.

• ### Homework Worksheet

12 word problems for students to work on at home. An example problem is provided and explained. Example: In a senior class, there are 23 boys and 28 girls. Express the ratio of the number of boys to the total number of students in the class.

• ### Skill Quiz

10 Ratio Word Problems. A math scoring matrix is included. Example: The cost of a lunch of 1 pizza and 2 cups of coffee is \$7. The cost of a lunch of 3 pizzas and 5 cups of coffee was \$20 at the same cafe. How much will 1 pizza and 1 cup of coffee?

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Answer Key

Answers for the lesson and practice sheets.

• ### Basic Lesson

Demonstrates how to outline Ratio Word Problems. Example: Which is bigger, one-eighth of 56 or half of 28? Write them in fractional form and calculate.

• ### Intermediate Lesson

Uses slightly larger sentences and numbers than the basic lesson. Example: Two numbers are in a ratio of 7:3. Their sum is 90. Find the largest number.

• ### Independent Practice 1

Contains a series of 20 Ratio Word Problems. The answers can be found below. Example: Denny has 45 marbles, 15 of which are blue and 30 of which are green. Nancy has 30 marbles, all of them are either blue or green. If the ratio of the blue marbles to the red marbles is the same for both Denny and Nancy, then Denny has how many more blue marbles than Nancy?

• ### Independent Practice 2

Features 20 Ratio Word Problems. Example: Physics tells us that weights of objects on the Earth are proportional to their weights on Moon. If 180 lb man weighs 30 lb on the moon. What will a 120 lb boy weigh on the moon?

• ### Homework Worksheet

12 word problems for students to work on at home. An example problem is provided and explained. Example: Jeannie takes inventory of her closet and discovers that she has 9 shirts for every 6 pair of jeans. If she has 45 shirts, how many pairs of jeans does she have?

• ### Skill Quiz

10 Ratio Word Problems. A math scoring matrix is included. Example: Nancy is 5' tall. At a certain time of day, she measures her shadow, and finds it is 9' long. She also measures the shadow of a building which is 200'. How tall is the building?

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Answer Key

Answers for the lesson and practice sheets.

### How to Determine a Ratio

The ratio refers to the comparison or relation with two things. Understand it by this example: In a class there are: Girls = 20 and Boys = 25 Q: Find the ratio of girls to the number of boys? In mathematical form ratio is : Convert the value in it; No. of girls to the no. of boys = 20 : 5 i.e. Twenty ratio is to five! So, how to simplify this ratio or how can you find the ratio? You will divide this ratio like 20/25. So, the value become: Both value comes in the table of 5. 5 x 4 = 20 | 5 x 5 = 25. 4:5 = 20:25 -> It is the ratio between girls & boys. Q: Find the ratio of number of girls to the total students. Total no. of girls=no. of girls + no. of boys 20 + 25 = 45. 20:45 or 20/45 (simplifying value). Q: Find Equivalent ratio. It means equal ratios like this: But, do they (12:4 6:4) are equivalent? They seem not but they are. How they can? Let’s find out. 12/4 = 6/3 = 3/1, 12:4 = 3:1 -> (a) And, 6/2 = 3/1, 6:4 = 3:1 -> (b) By combining a & b, the ratio will be equivalent like this; 3:1 3:1.

#### What Are Unit Rates?

A unit rate compares a quantity to its unit of measure. A unit price is a rate comparing the price of an item to its unit of measure. The rate "miles per hour" gives distance traveled per unit of time. A mnemonic device of naming the numerator any name beginning with an "N" and calling the denominator "dog" is one way to remember how to convert a fraction to a decimal. You put the person inside the house (the bracket) and the dog stays outside.