Simplifying Ratios (Word Problems) Worksheet

In Read & Write the Simplified Ratio for the Following

Name Grade School

Date Questions10 Score

Aaron’s monthly income is $1170 and him savings is $390. Find savings to expenses ratio.

Out of 144 students in a class, 36 are boys. Find boys to girls ratio.

Length and breadth of a rectangular field are 140 feet and 28 feet respectively. Find the ratio of length to breadth of the field.

Out of 135 students in a class, 27 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.

There are 90 teachers in a school of 2175 students. Find number of teachers to number of students ratio.

In a city of 7440 people, 2300 are government employees and the remaining are self-employed. Find government employees to self-employed ratio.

Sophia’s monthly income is $1595 and her savings is $435. Find savings to expenses ratio.

Out of 44 students in a class, 20 are boys. Find boys to girls ratio.

Length and breadth of a rectangular field are 144 feet and 36 feet respectively. Find the ratio of length to breadth of the field.

Out of 90 students in a class, 24 prefer football, 42 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

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Aaron’s monthly income is $1170 and him savings is $390. Find savings to expenses ratio.

Savings to expenses ratio is 1:2

Solution

Aaron's Income = $1170
Savings = $390
Expenses = 1170 - 390 = 780
∴ savings to expenses ratio = 390:780 = 1:2

Out of 144 students in a class, 36 are boys. Find boys to girls ratio.

Boys to girls ratio is 1:3

Solution

Total Number of students = 144
boys = 36
girls = 144 - 36 = 108
∴ Boys to girls ratio = 36:108 = 1:3

Length and breadth of a rectangular field are 140 feet and 28 feet respectively. Find the ratio of length to breadth of the field.

Length to breadth ratio is 5:1

Solution

Length of a rectangular field = 140
breadth of a rectangular field = 28
∴ Length to breadth ratio = 140:28 = 5:1

Out of 135 students in a class, 27 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 3:4

Solution

Total Number of students = 135
Number of students prefer football = 27
Number of students prefer baseball = 72
Number of students prefer tennis =135 - (27 + 72) = 36
∴ Number of students who prefer football to number of students who prefer tennis ratio = 27:36 = 3:4

There are 90 teachers in a school of 2175 students. Find number of teachers to number of students ratio.

number of teachers to number of students ratio is 6:145

Solution

Total Number of teachers = 90
Total Number of students = 2175
∴ Number of teachers to number of students ratio = 90:2175 = 6:145

In a city of 7440 people, 2300 are government employees and the remaining are self-employed. Find government employees to self-employed ratio.

Government employees to self-employed ratio is 115:257

Solution

Number of people in the city = $7440
Number of Government employees = $2300
Self employed = 7440 - 2300 = 5140
∴ Government employees to self-employed ratio = 2300:5140 = 115:257

Sophia’s monthly income is $1595 and her savings is $435. Find savings to expenses ratio.

Savings to expenses ratio is 3:8

Solution

Sophia's Income = $1595
Savings = $435
Expenses = 1595 - 435 = 1160
∴ savings to expenses ratio = 435:1160 = 3:8

Out of 44 students in a class, 20 are boys. Find boys to girls ratio.

Boys to girls ratio is 5:6

Solution

Total Number of students = 44
boys = 20
girls = 44 - 20 = 24
∴ Boys to girls ratio = 20:24 = 5:6

Length and breadth of a rectangular field are 144 feet and 36 feet respectively. Find the ratio of length to breadth of the field.

Length to breadth ratio is 4:1

Solution

Length of a rectangular field = 144
breadth of a rectangular field = 36
∴ Length to breadth ratio = 144:36 = 4:1

Out of 90 students in a class, 24 prefer football, 42 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 1:1

Solution

Total Number of students = 90
Number of students prefer football = 24
Number of students prefer baseball = 42
Number of students prefer tennis =90 - (24 + 42) = 24
∴ Number of students who prefer football to number of students who prefer tennis ratio = 24:24 = 1:1

In Read & Write the Simplified Ratio for the Following

Read the Following & Simplify Ratios Worksheet

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