Simplifying Ratios (Word Problems) Worksheet

In Read & Write the Simplified Ratio for the Following

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Date Questions10 Score

Alexander’s monthly income is $1265 and him savings is $230. Find savings to expenses ratio.

Out of 198 students in a class, 36 are boys. Find boys to girls ratio.

Length and breadth of a rectangular field are 66 feet and 24 feet respectively. Find the ratio of length to breadth of the field.

Out of 32 students in a class, 6 prefer football, 14 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 75 teachers in a school of 1800 students. Find number of teachers to number of students ratio.

In a city of 9840 people, 4650 are government employees and the remaining are self-employed. Find government employees to self-employed ratio.

Zachary’s monthly income is $1365 and him savings is $420. Find savings to expenses ratio.

Out of 240 students in a class, 60 are boys. Find boys to girls ratio.

Length and breadth of a rectangular field are 104 feet and 40 feet respectively. Find the ratio of length to breadth of the field.

Out of 26 students in a class, 2 prefer football, 14 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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Alexander’s monthly income is $1265 and him savings is $230. Find savings to expenses ratio.

Savings to expenses ratio is 2:9

Solution

Alexander's Income = $1265
Savings = $230
Expenses = 1265 - 230 = 1035
∴ savings to expenses ratio = 230:1035 = 2:9

Out of 198 students in a class, 36 are boys. Find boys to girls ratio.

Boys to girls ratio is 2:9

Solution

Total Number of students = 198
boys = 36
girls = 198 - 36 = 162
∴ Boys to girls ratio = 36:162 = 2:9

Length and breadth of a rectangular field are 66 feet and 24 feet respectively. Find the ratio of length to breadth of the field.

Length to breadth ratio is 11:4

Solution

Length of a rectangular field = 66
breadth of a rectangular field = 24
∴ Length to breadth ratio = 66:24 = 11:4

Out of 32 students in a class, 6 prefer football, 14 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 1:2

Solution

Total Number of students = 32
Number of students prefer football = 6
Number of students prefer baseball = 14
Number of students prefer tennis =32 - (6 + 14) = 12
∴ Number of students who prefer football to number of students who prefer tennis ratio = 6:12 = 1:2

There are 75 teachers in a school of 1800 students. Find number of teachers to number of students ratio.

number of teachers to number of students ratio is 1:24

Solution

Total Number of teachers = 75
Total Number of students = 1800
∴ Number of teachers to number of students ratio = 75:1800 = 1:24

In a city of 9840 people, 4650 are government employees and the remaining are self-employed. Find government employees to self-employed ratio.

Government employees to self-employed ratio is 155:173

Solution

Number of people in the city = $9840
Number of Government employees = $4650
Self employed = 9840 - 4650 = 5190
∴ Government employees to self-employed ratio = 4650:5190 = 155:173

Zachary’s monthly income is $1365 and him savings is $420. Find savings to expenses ratio.

Savings to expenses ratio is 4:9

Solution

Zachary's Income = $1365
Savings = $420
Expenses = 1365 - 420 = 945
∴ savings to expenses ratio = 420:945 = 4:9

Out of 240 students in a class, 60 are boys. Find boys to girls ratio.

Boys to girls ratio is 1:3

Solution

Total Number of students = 240
boys = 60
girls = 240 - 60 = 180
∴ Boys to girls ratio = 60:180 = 1:3

Length and breadth of a rectangular field are 104 feet and 40 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 = 104
breadth of a rectangular field = 40
∴ Length to breadth ratio = 104:40 = 13:5

Out of 26 students in a class, 2 prefer football, 14 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 1:5

Solution

Total Number of students = 26
Number of students prefer football = 2
Number of students prefer baseball = 14
Number of students prefer tennis =26 - (2 + 14) = 10
∴ Number of students who prefer football to number of students who prefer tennis ratio = 2:10 = 1:5

In Read & Write the Simplified Ratio for the Following

Read the Following & Simplify Ratios Worksheet

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