**1) Find the ratio of 36 yards to 48 yards.**

Solution:

Solution:

**36 yards : 48 yards**

= 36 : 48

Dividing both numbers by 2 (to avoid more steps we can also divide it by GCD)

= 18 : 24

Dividing both numbers by 2

= 9 : 12

Dividing both numbers by 3

= 3 : 4

This is the simplest form which is not reducible further.

36 yards : 48 yards = 3 : 4

= 36 : 48

Dividing both numbers by 2 (to avoid more steps we can also divide it by GCD)

= 18 : 24

Dividing both numbers by 2

= 9 : 12

Dividing both numbers by 3

= 3 : 4

This is the simplest form which is not reducible further.

36 yards : 48 yards = 3 : 4

**2) Find the ratio of 65 days to 50 days.**

Solution:

Solution:

65 days : 50 days

65 : 50

Dividing both numbers by 5

13 : 10

This is the simplest form.

65 days : 50 days = 13 : 10

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Practice questions:

Find the ratio of

i) 200 m to 600 m

65 days : 50 days

65 : 50

Dividing both numbers by 5

13 : 10

This is the simplest form.

65 days : 50 days = 13 : 10

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Practice questions:

Find the ratio of

i) 200 m to 600 m

**ii) 350 bags to 500 bags**

iii) 25 feet to 125 feet

iv) 150 pencils to 225 pencils

v) 69 km to 96 km

vi) 22 yards to 77 yards

vii) 36 hours to 60 hours

viii) $64 to $48

ix) 121 inches to 99 inches

x) 138 cookies to 186 cookies

iii) 25 feet to 125 feet

iv) 150 pencils to 225 pencils

v) 69 km to 96 km

vi) 22 yards to 77 yards

vii) 36 hours to 60 hours

viii) $64 to $48

ix) 121 inches to 99 inches

x) 138 cookies to 186 cookies

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3) Find the ratio of 36 hours to 2 days.

3) Find the ratio of 36 hours to 2 days.

**Solution:**

**1 day = 24 hours**

2 days = 2 * 24 = 48 hours

36 hours : 2 days

= 36 hours : 48 hours

= 36 : 48

Dividing by 6 ( Use 2 to divide if not familiar with 6 )

= 6 : 8

Dividing by 2

= 3 : 4

4) Find the ratio of $2.50 to 75 cents.

Solution:1 dollar = 100 cents

2.50 dollar = 2.50 * 100 = 250 cents

$2.50 to 75 cents

= 250 cents : 75 cents

= 250 : 75

Dividing by 25

= 10 : 3

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2 days = 2 * 24 = 48 hours

36 hours : 2 days

= 36 hours : 48 hours

= 36 : 48

Dividing by 6 ( Use 2 to divide if not familiar with 6 )

= 6 : 8

Dividing by 2

= 3 : 4

4) Find the ratio of $2.50 to 75 cents.

Solution:1 dollar = 100 cents

2.50 dollar = 2.50 * 100 = 250 cents

$2.50 to 75 cents

= 250 cents : 75 cents

= 250 : 75

Dividing by 25

= 10 : 3

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**Practice questions:**

Find the ratio of

i) 12 inches to 3 feet

ii) 12 feet to 7 yards

iii) $1.25 to half a dollar

iv) 8 quarters to 5 nickels

v) 36 pints to 4 gallons

vi) 20 ounces to 1.5 pounds

vii) 45 cm to 2 meter

viii) 3 hours 20 minutes to 2 hours 10 minutes

ix) 1250 feet to 1 mile

x) 12 cm to 1.2 cm

Find the ratio of

i) 12 inches to 3 feet

ii) 12 feet to 7 yards

iii) $1.25 to half a dollar

iv) 8 quarters to 5 nickels

v) 36 pints to 4 gallons

vi) 20 ounces to 1.5 pounds

vii) 45 cm to 2 meter

viii) 3 hours 20 minutes to 2 hours 10 minutes

ix) 1250 feet to 1 mile

x) 12 cm to 1.2 cm

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**5) There are 250 students in a certain school. If the number of boys in a school are 120. Find the ratio between**

i) number of girls to number of boys

ii) number of boys to total number of students

iii) number of students to number of girls

Solution:

i) number of girls to number of boys

ii) number of boys to total number of students

iii) number of students to number of girls

Solution:

**Number of students = 250**

Number of boys = 120

Number of girls = Total number of students – Total number of boys

= 250 – 120

= 130

Number of boys = 120

Number of girls = Total number of students – Total number of boys

= 250 – 120

= 130

**i) Number of girls to number of boys**

= number of girls : number of boys

= 130 : 120

Dividing each term by 10

= 13 : 12

So, ratio between girls to the boys is 13 : 12

= number of girls : number of boys

= 130 : 120

Dividing each term by 10

= 13 : 12

So, ratio between girls to the boys is 13 : 12

**ii) Number of boys to total number of students**

= number of boys : number of students

= 120 : 250

Dividing each term by 10

= 12 : 25

So, ratio between boys to the students is 12 : 25

= number of boys : number of students

= 120 : 250

Dividing each term by 10

= 12 : 25

So, ratio between boys to the students is 12 : 25

**iii) Number of students to number of girls**

= number of students : number of girls

= 250 : 130

Dividing each term by 10

= 25 : 13

So, ratio between students to the girls is 25 : 13

6) Mr. Mac has 12 white balls, 15 black balls and 18 green balls. Find the ratio of

i) Black balls to white balls

ii) White balls to total number of balls

iii) Black balls to white balls to green balls

Solution:

= number of students : number of girls

= 250 : 130

Dividing each term by 10

= 25 : 13

So, ratio between students to the girls is 25 : 13

6) Mr. Mac has 12 white balls, 15 black balls and 18 green balls. Find the ratio of

i) Black balls to white balls

ii) White balls to total number of balls

iii) Black balls to white balls to green balls

Solution:

**Number of white balls = 12**

Number of black balls = 15

Number of green balls = 18

Total number of balls = 12 + 15 + 18

= 45

Number of black balls = 15

Number of green balls = 18

Total number of balls = 12 + 15 + 18

= 45

**i) Black balls to white balls**

= black balls : white balls

= 15 : 12

Dividing each term by 3

= 5 : 4

So, the ratio of black balls to white balls is 5 : 4

= black balls : white balls

= 15 : 12

Dividing each term by 3

= 5 : 4

So, the ratio of black balls to white balls is 5 : 4

**ii) White balls to total number of balls**

= white balls : total number of balls

= 12 : 45

Dividing each term by 3

= 4 : 15

So, the ratio of white balls to total number of balls is 4 : 15

= white balls : total number of balls

= 12 : 45

Dividing each term by 3

= 4 : 15

So, the ratio of white balls to total number of balls is 4 : 15

**iii) Black balls to white balls to green balls**

= black balls : white balls : green balls

= 15 : 12 : 18

Dividing each term by 3

= 5 : 4 : 6

So, the ratio of black balls to white balls to green balls is 5 : 4 : 6

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Practice questions:

i) Mrs. Alice earns $ 1200 per month. She spends $ 800 and saves the rest. Find the ratio of her salary to savings ?

ii) Anne scored 40 points out of 50. Find the ratio between the number of points scored to total number of points.

iii) In grade six, 36 students were passed. Total students in a class are 48. Find the ratio of passed students to the failed students.

= black balls : white balls : green balls

= 15 : 12 : 18

Dividing each term by 3

= 5 : 4 : 6

So, the ratio of black balls to white balls to green balls is 5 : 4 : 6

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Practice questions:

i) Mrs. Alice earns $ 1200 per month. She spends $ 800 and saves the rest. Find the ratio of her salary to savings ?

ii) Anne scored 40 points out of 50. Find the ratio between the number of points scored to total number of points.

iii) In grade six, 36 students were passed. Total students in a class are 48. Find the ratio of passed students to the failed students.