Write/Equivalent Ratios

How do we use ratios to compare two quantities?

©Exceeding the CORE

In this lesson you will be
able to:
✔ Write ratios in three different

ways.

✔ Find equivalent ratios.

How do we use ratios to compare two quantities?

©Exceeding the CORE

A ratio is a comparison of two quantities. It
show how many times as great one quantity is
than another.

For example, the ratio of moon-shaped
stickers to heart-shaped stickers is 3 to 2.

Multiple Choice

What is a ratio?

• when the only factor of the numerator and denominator is one

• two decimals that can be multiplied

• a comparison of two quantities

• to multiply two fractions

Multiple Choice

Which one is a real life example of a RATIO?

• 12 cookies

• 4 meatballs to 1 cup of sauce

• 25 students and 1 teacher

• 1 jar of sauce

How do we use ratios to compare two quantities?

©Exceeding the CORE

▶

A ratio can be written in several different

ways.

3 moons to 2 hearts 3 to 2 3:2

▶

A ratio can compare a part to a part, a part to
the whole, or the whole to a part.

1. WRITING RATIOS

Multiple Choice

The 3 ways to write a ratio are

• read, write, demonstrate

• fraction, decimal, percent

• add, subtract, multiply

• the word to, a colon, and as a fraction

How do we use ratios to compare two quantities?

©Exceeding the CORE

1. WRITING RATIOS

a) Write the ratio of strawberry
ice cream to vanilla ice cream in
three different ways.

Ice Cream Sales

vanilla

5

chocolate

2

strawberry

1

butter pecan

7

b) Write the ratio of chocolate
ice cream to the total ice cream
sales in three different ways.

part to part

part to whole

How do we use ratios to compare two quantities?

©Exceeding the CORE

1. WRITING RATIOS(PRACTICE)

c) Write the ratio of the total
animals to the lions in three
different ways.

d) Write the ratio of elephants to
giraffes in three different ways.

Animals in

the Zoo

Giraffes

1

Lions

3

Elephants

10

Seals

6

Multiple Choice

If there are 5 boys and 7 girls, write the ratio of girls to boys.

• 5 to 7
• 7 to 5
• 5 to 12
• 7 to 12

Open Ended

What is the ratio of books to pens.

Multiple Choice

What is the ratio of Suns to Moons?

• 4 : 3

• 3 : 8

• 4 : 8

• 3 : 4

How do we use ratios to compare two quantities?

©Exceeding the CORE

2. EQUIVALENT RATIOS

▶

Equivalent ratios are ratios that name the

same comparison.

▶

You can find equivalent
ratios by using a table or by
multiplying or dividing both
terms of a ratio by the same
number.

▶

A ratio with terms that have no common factors is
said to be in simplest form.

How do we use ratios to compare two quantities?

©Exceeding the CORE

2. EQUIVALENT RATIOS

a) You make 7 cups of lemonade by mixing 5 cups of lemon
concentrate with 2 cups of water. How much lemon
concentrate and how much water do you need to make
three times the original recipe?

METHOD 1 Use a table.

METHOD 2 Multiply
both terms of the ratio
by the same number.

Lemon Concentrate

5

Water

2

5 x 2 5 x 3

2 x 2

2 x 3

You will need 15 cups of lemon concentrate and 6 cups of water.

To make three times the
recipe multiply the terms
of the original ratio by 3.

Multiply both terms of the original
ratio by the same number.

10
4

15
6

How do we use ratios to compare two quantities?

©Exceeding the CORE

2. EQUIVALENT RATIOS(PRACTICE)

b) In each bouquet of flowers, there are 3 lilies and 7
roses. Complete the table to find how many lilies and roses
there are in 4 bouquets of flowers.

Lilies

3

Roses

7

Multiple Choice

Are these ratios equivalent?

2:3 and 8:12

• Yes

• No

Multiple Choice

What number is missing?

• 12
• 3
• 11
• 13

Multiple Choice

Kevin is mixing paint to make orange. The ratio of red paint to yellow paint is 3 oz to 5 oz. How much yellow paint should he mix with 9 oz of red paint?

• 15 oz
• 30 oz
• 45 oz
• 11 oz

Multiple Choice

Complete the ratio table

• 10, 35

• 12, 41

• 10, 41

• 10, 45

Multiple Choice

Use the ratio tables to determine how many pencils will be in 8 boxes?

• 20 pencils

• 24 pencils

• 96 pencils

• 84 pencils

How do we use ratios to compare two quantities?

©Exceeding the CORE

LESSON QUIZ

1) Write the ratio of oats to total
cups of ingredients in three different
ways.

Trail Mix Recipe

Nuts

3 cups

Oats

2 cups

Seeds

4 cups

2) In each fruit basket, there are 4 apples and 6 oranges.
Complete the table to find how many apples and oranges
there are in 3 fruit baskets.

Apples

4

Oranges

6