Simplifying Ratios (Word Problems) Worksheet

In Read & Write the Simplified Ratio for the Following

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Date Questions10 Score

Victoria’s monthly income is $935 and her savings is $170. Find savings to expenses ratio.

Out of 126 students in a class, 28 are boys. Find boys to girls ratio.

Length and breadth of a rectangular field are 176 feet and 32 feet respectively. Find the ratio of length to breadth of the field.

Out of 133 students in a class, 28 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 125 teachers in a school of 4100 students. Find number of teachers to number of students ratio.

In a city of 10980 people, 4800 are government employees and the remaining are self-employed. Find government employees to self-employed ratio.

Inez’s monthly income is $660 and her savings is $120. Find savings to expenses ratio.

Out of 64 students in a class, 16 are boys. Find boys to girls ratio.

Length and breadth of a rectangular field are 198 feet and 36 feet respectively. Find the ratio of length to breadth of the field.

Out of 126 students in a class, 9 prefer football, 54 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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Victoria’s monthly income is $935 and her savings is $170. Find savings to expenses ratio.

Savings to expenses ratio is 2:9

Solution

Victoria's Income = $935
Savings = $170
Expenses = 935 - 170 = 765
∴ savings to expenses ratio = 170:765 = 2:9

Out of 126 students in a class, 28 are boys. Find boys to girls ratio.

Boys to girls ratio is 2:7

Solution

Total Number of students = 126
boys = 28
girls = 126 - 28 = 98
∴ Boys to girls ratio = 28:98 = 2:7

Length and breadth of a rectangular field are 176 feet and 32 feet respectively. Find the ratio of length to breadth of the field.

Length to breadth ratio is 11:2

Solution

Length of a rectangular field = 176
breadth of a rectangular field = 32
∴ Length to breadth ratio = 176:32 = 11:2

Out of 133 students in a class, 28 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 4:7

Solution

Total Number of students = 133
Number of students prefer football = 28
Number of students prefer baseball = 56
Number of students prefer tennis =133 - (28 + 56) = 49
∴ Number of students who prefer football to number of students who prefer tennis ratio = 28:49 = 4:7

There are 125 teachers in a school of 4100 students. Find number of teachers to number of students ratio.

number of teachers to number of students ratio is 5:164

Solution

Total Number of teachers = 125
Total Number of students = 4100
∴ Number of teachers to number of students ratio = 125:4100 = 5:164

In a city of 10980 people, 4800 are government employees and the remaining are self-employed. Find government employees to self-employed ratio.

Government employees to self-employed ratio is 80:103

Solution

Number of people in the city = $10980
Number of Government employees = $4800
Self employed = 10980 - 4800 = 6180
∴ Government employees to self-employed ratio = 4800:6180 = 80:103

Inez’s monthly income is $660 and her savings is $120. Find savings to expenses ratio.

Savings to expenses ratio is 2:9

Solution

Inez's Income = $660
Savings = $120
Expenses = 660 - 120 = 540
∴ savings to expenses ratio = 120:540 = 2:9

Out of 64 students in a class, 16 are boys. Find boys to girls ratio.

Boys to girls ratio is 1:3

Solution

Total Number of students = 64
boys = 16
girls = 64 - 16 = 48
∴ Boys to girls ratio = 16:48 = 1:3

Length and breadth of a rectangular field are 198 feet and 36 feet respectively. Find the ratio of length to breadth of the field.

Length to breadth ratio is 11:2

Solution

Length of a rectangular field = 198
breadth of a rectangular field = 36
∴ Length to breadth ratio = 198:36 = 11:2

Out of 126 students in a class, 9 prefer football, 54 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 1:7

Solution

Total Number of students = 126
Number of students prefer football = 9
Number of students prefer baseball = 54
Number of students prefer tennis =126 - (9 + 54) = 63
∴ Number of students who prefer football to number of students who prefer tennis ratio = 9:63 = 1:7

In Read & Write the Simplified Ratio for the Following

Read the Following & Simplify Ratios Worksheet

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