In Read & Write the Simplified Ratio for the Following

Name Grade School
Date Questions10 Score

1
Iva’s monthly income is $1100 and her savings is $500. Find savings to expenses ratio.
2
Out of 168 students in a class, 42 are boys. Find boys to girls ratio.
3
Length and breadth of a rectangular field are 144 feet and 32 feet respectively. Find the ratio of length to breadth of the field.
4
Out of 60 students in a class, 20 prefer football, 28 prefer baseball and remaining like tennis. Find the ratio of number of students who prefer football to number of students who prefer tennis.
5
There are 105 teachers in a school of 2700 students. Find number of teachers to number of students ratio.
6
In a city of 15900 people, 9200 are government employees and the remaining are self-employed. Find government employees to self-employed ratio.
7
Richard’s monthly income is $960 and him savings is $320. Find savings to expenses ratio.
8
Out of 78 students in a class, 30 are boys. Find boys to girls ratio.
9
Length and breadth of a rectangular field are 72 feet and 24 feet respectively. Find the ratio of length to breadth of the field.
10
Out of 42 students in a class, 9 prefer football, 24 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
1
Iva’s monthly income is $1100 and her savings is $500. Find savings to expenses ratio.
Savings to expenses ratio is 5:6
Solution
Iva's Income = $1100
Savings = $500
Expenses = 1100 - 500 = 600
∴ savings to expenses ratio = 500:600 = 5:6
2
Out of 168 students in a class, 42 are boys. Find boys to girls ratio.
Boys to girls ratio is 1:3
Solution
Total Number of students = 168
boys = 42
girls = 168 - 42 = 126
∴ Boys to girls ratio = 42:126 = 1:3
3
Length and breadth of a rectangular field are 144 feet and 32 feet respectively. Find the ratio of length to breadth of the field.
Length to breadth ratio is 9:2
Solution
Length of a rectangular field = 144
breadth of a rectangular field = 32
∴ Length to breadth ratio = 144:32 = 9:2
4
Out of 60 students in a class, 20 prefer football, 28 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 5:3
Solution
Total Number of students = 60
Number of students prefer football = 20
Number of students prefer baseball = 28
Number of students prefer tennis =60 - (20 + 28) = 12
∴ Number of students who prefer football to number of students who prefer tennis ratio = 20:12 = 5:3
5
There are 105 teachers in a school of 2700 students. Find number of teachers to number of students ratio.
number of teachers to number of students ratio is 7:180
Solution
Total Number of teachers = 105
Total Number of students = 2700
∴ Number of teachers to number of students ratio = 105:2700 = 7:180
6
In a city of 15900 people, 9200 are government employees and the remaining are self-employed. Find government employees to self-employed ratio.
Government employees to self-employed ratio is 92:67
Solution
Number of people in the city = $15900
Number of Government employees = $9200
Self employed = 15900 - 9200 = 6700
∴ Government employees to self-employed ratio = 9200:6700 = 92:67
7
Richard’s monthly income is $960 and him savings is $320. Find savings to expenses ratio.
Savings to expenses ratio is 1:2
Solution
Richard's Income = $960
Savings = $320
Expenses = 960 - 320 = 640
∴ savings to expenses ratio = 320:640 = 1:2
8
Out of 78 students in a class, 30 are boys. Find boys to girls ratio.
Boys to girls ratio is 5:8
Solution
Total Number of students = 78
boys = 30
girls = 78 - 30 = 48
∴ Boys to girls ratio = 30:48 = 5:8
9
Length and breadth of a rectangular field are 72 feet and 24 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 = 72
breadth of a rectangular field = 24
∴ Length to breadth ratio = 72:24 = 3:1
10
Out of 42 students in a class, 9 prefer football, 24 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 = 42
Number of students prefer football = 9
Number of students prefer baseball = 24
Number of students prefer tennis =42 - (9 + 24) = 9
∴ Number of students who prefer football to number of students who prefer tennis ratio = 9:9 = 1:1

Read the Following & Simplify Ratios Worksheet

Simplifying ratios (word problems) worksheet with answers for 6th grade math curriculum is available online for free in printable and downloadable (pdf & image) format. Tap on PRINT, PDF or IMAGE button to print or download this grade-6 ratio & proportion worksheet to practice how to write the ratios for the following statements.

How to Use this Worksheet

In this sixth grade ratio & proportion worksheet, students are required to read the word problems and write the simplified (equivalent) ratio. Use the data in the sentence, find the antecedent and consequent of the ratio and write in the reduced form.

Answers Key

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