Simplifying Ratios (Word Problems) Worksheet

In Read & Write the Simplified Ratio for the Following

Name Grade School

Date Questions10 Score

Samuel’s monthly income is $1040 and him savings is $400. Find savings to expenses ratio.

Out of 40 students in a class, 12 are boys. Find boys to girls ratio.

Length and breadth of a rectangular field are 182 feet and 70 feet respectively. Find the ratio of length to breadth of the field.

Out of 65 students in a class, 20 prefer football, 40 prefer baseball and remaining like tennis. Find the ratio of number of students who prefer football to number of students who prefer tennis.

There are 120 teachers in a school of 2680 students. Find number of teachers to number of students ratio.

In a city of 9510 people, 5310 are government employees and the remaining are self-employed. Find government employees to self-employed ratio.

Amy’s monthly income is $1440 and her savings is $480. Find savings to expenses ratio.

Out of 78 students in a class, 24 are boys. Find boys to girls ratio.

Length and breadth of a rectangular field are 260 feet and 80 feet respectively. Find the ratio of length to breadth of the field.

Out of 135 students in a class, 18 prefer football, 72 prefer baseball and remaining like tennis. Find the ratio of number of students who prefer football to number of students who prefer tennis.

Answers Key

Show All Workout

Samuel’s monthly income is $1040 and him savings is $400. Find savings to expenses ratio.

Savings to expenses ratio is 5:8

Solution

Samuel's Income = $1040
Savings = $400
Expenses = 1040 - 400 = 640
∴ savings to expenses ratio = 400:640 = 5:8

Out of 40 students in a class, 12 are boys. Find boys to girls ratio.

Boys to girls ratio is 3:7

Solution

Total Number of students = 40
boys = 12
girls = 40 - 12 = 28
∴ Boys to girls ratio = 12:28 = 3:7

Length and breadth of a rectangular field are 182 feet and 70 feet respectively. Find the ratio of length to breadth of the field.

Length to breadth ratio is 13:5

Solution

Length of a rectangular field = 182
breadth of a rectangular field = 70
∴ Length to breadth ratio = 182:70 = 13:5

Out of 65 students in a class, 20 prefer football, 40 prefer baseball and remaining like tennis. Find the ratio of number of students who prefer football to number of students who prefer tennis.

Number of students who prefer football to number of students who prefer tennis ratio is 4:1

Solution

Total Number of students = 65
Number of students prefer football = 20
Number of students prefer baseball = 40
Number of students prefer tennis =65 - (20 + 40) = 5
∴ Number of students who prefer football to number of students who prefer tennis ratio = 20:5 = 4:1

There are 120 teachers in a school of 2680 students. Find number of teachers to number of students ratio.

number of teachers to number of students ratio is 3:67

Solution

Total Number of teachers = 120
Total Number of students = 2680
∴ Number of teachers to number of students ratio = 120:2680 = 3:67

In a city of 9510 people, 5310 are government employees and the remaining are self-employed. Find government employees to self-employed ratio.

Government employees to self-employed ratio is 177:140

Solution

Number of people in the city = $9510
Number of Government employees = $5310
Self employed = 9510 - 5310 = 4200
∴ Government employees to self-employed ratio = 5310:4200 = 177:140

Amy’s monthly income is $1440 and her savings is $480. Find savings to expenses ratio.

Savings to expenses ratio is 1:2

Solution

Amy's Income = $1440
Savings = $480
Expenses = 1440 - 480 = 960
∴ savings to expenses ratio = 480:960 = 1:2

Out of 78 students in a class, 24 are boys. Find boys to girls ratio.

Boys to girls ratio is 4:9

Solution

Total Number of students = 78
boys = 24
girls = 78 - 24 = 54
∴ Boys to girls ratio = 24:54 = 4:9

Length and breadth of a rectangular field are 260 feet and 80 feet respectively. Find the ratio of length to breadth of the field.

Length to breadth ratio is 13:4

Solution

Length of a rectangular field = 260
breadth of a rectangular field = 80
∴ Length to breadth ratio = 260:80 = 13:4

Out of 135 students in a class, 18 prefer football, 72 prefer baseball and remaining like tennis. Find the ratio of number of students who prefer football to number of students who prefer tennis.

Number of students who prefer football to number of students who prefer tennis ratio is 2:5

Solution

Total Number of students = 135
Number of students prefer football = 18
Number of students prefer baseball = 72
Number of students prefer tennis =135 - (18 + 72) = 45
∴ Number of students who prefer football to number of students who prefer tennis ratio = 18:45 = 2:5

In Read & Write the Simplified Ratio for the Following

Read the Following & Simplify Ratios Worksheet

Academics

Resources

Subscription

Company

Academics

Resources

Subscription

Company