Simplifying Ratios (Word Problems) Worksheet

In Read & Write the Simplified Ratio for the Following

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Date Questions10 Score

Inez’s monthly income is $1170 and her savings is $360. Find savings to expenses ratio.

Out of 104 students in a class, 32 are boys. Find boys to girls ratio.

Length and breadth of a rectangular field are 240 feet and 80 feet respectively. Find the ratio of length to breadth of the field.

Out of 112 students in a class, 32 prefer football, 56 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 160 teachers in a school of 2280 students. Find number of teachers to number of students ratio.

In a city of 15450 people, 6400 are government employees and the remaining are self-employed. Find government employees to self-employed ratio.

Jason’s monthly income is $1485 and him savings is $405. Find savings to expenses ratio.

Out of 156 students in a class, 60 are boys. Find boys to girls ratio.

Length and breadth of a rectangular field are 96 feet and 32 feet respectively. Find the ratio of length to breadth of the field.

Out of 60 students in a class, 15 prefer football, 27 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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Inez’s monthly income is $1170 and her savings is $360. Find savings to expenses ratio.

Savings to expenses ratio is 4:9

Solution

Inez's Income = $1170
Savings = $360
Expenses = 1170 - 360 = 810
∴ savings to expenses ratio = 360:810 = 4:9

Out of 104 students in a class, 32 are boys. Find boys to girls ratio.

Boys to girls ratio is 4:9

Solution

Total Number of students = 104
boys = 32
girls = 104 - 32 = 72
∴ Boys to girls ratio = 32:72 = 4:9

Length and breadth of a rectangular field are 240 feet and 80 feet respectively. Find the ratio of length to breadth of the field.

Length to breadth ratio is 3:1

Solution

Length of a rectangular field = 240
breadth of a rectangular field = 80
∴ Length to breadth ratio = 240:80 = 3:1

Out of 112 students in a class, 32 prefer football, 56 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 4:3

Solution

Total Number of students = 112
Number of students prefer football = 32
Number of students prefer baseball = 56
Number of students prefer tennis =112 - (32 + 56) = 24
∴ Number of students who prefer football to number of students who prefer tennis ratio = 32:24 = 4:3

There are 160 teachers in a school of 2280 students. Find number of teachers to number of students ratio.

number of teachers to number of students ratio is 4:57

Solution

Total Number of teachers = 160
Total Number of students = 2280
∴ Number of teachers to number of students ratio = 160:2280 = 4:57

In a city of 15450 people, 6400 are government employees and the remaining are self-employed. Find government employees to self-employed ratio.

Government employees to self-employed ratio is 128:181

Solution

Number of people in the city = $15450
Number of Government employees = $6400
Self employed = 15450 - 6400 = 9050
∴ Government employees to self-employed ratio = 6400:9050 = 128:181

Jason’s monthly income is $1485 and him savings is $405. Find savings to expenses ratio.

Savings to expenses ratio is 3:8

Solution

Jason's Income = $1485
Savings = $405
Expenses = 1485 - 405 = 1080
∴ savings to expenses ratio = 405:1080 = 3:8

Out of 156 students in a class, 60 are boys. Find boys to girls ratio.

Boys to girls ratio is 5:8

Solution

Total Number of students = 156
boys = 60
girls = 156 - 60 = 96
∴ Boys to girls ratio = 60:96 = 5:8

Length and breadth of a rectangular field are 96 feet and 32 feet respectively. Find the ratio of length to breadth of the field.

Length to breadth ratio is 3:1

Solution

Length of a rectangular field = 96
breadth of a rectangular field = 32
∴ Length to breadth ratio = 96:32 = 3:1

Out of 60 students in a class, 15 prefer football, 27 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 5:6

Solution

Total Number of students = 60
Number of students prefer football = 15
Number of students prefer baseball = 27
Number of students prefer tennis =60 - (15 + 27) = 18
∴ Number of students who prefer football to number of students who prefer tennis ratio = 15:18 = 5:6

In Read & Write the Simplified Ratio for the Following

Read the Following & Simplify Ratios Worksheet

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