In Read & Write the Simplified Ratio for the Following

Name Grade School
Date Questions10 Score

1
Richard’s monthly income is $1500 and him savings is $375. Find savings to expenses ratio.
2
Out of 96 students in a class, 24 are boys. Find boys to girls ratio.
3
Length and breadth of a rectangular field are 260 feet and 80 feet respectively. Find the ratio of length to breadth of the field.
4
Out of 80 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 160 teachers in a school of 2760 students. Find number of teachers to number of students ratio.
6
In a city of 12560 people, 5720 are government employees and the remaining are self-employed. Find government employees to self-employed ratio.
7
Derek’s monthly income is $1150 and him savings is $230. Find savings to expenses ratio.
8
Out of 120 students in a class, 50 are boys. Find boys to girls ratio.
9
Length and breadth of a rectangular field are 180 feet and 36 feet respectively. Find the ratio of length to breadth of the field.
10
Out of 28 students in a class, 6 prefer football, 16 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
Richard’s monthly income is $1500 and him savings is $375. Find savings to expenses ratio.
Savings to expenses ratio is 1:3
Solution
Richard's Income = $1500
Savings = $375
Expenses = 1500 - 375 = 1125
∴ savings to expenses ratio = 375:1125 = 1:3
2
Out of 96 students in a class, 24 are boys. Find boys to girls ratio.
Boys to girls ratio is 1:3
Solution
Total Number of students = 96
boys = 24
girls = 96 - 24 = 72
∴ Boys to girls ratio = 24:72 = 1:3
3
Length and breadth of a rectangular field are 260 feet and 80 feet respectively. Find the ratio of length to breadth of the field.
Length to breadth ratio is 13:4
Solution
Length of a rectangular field = 260
breadth of a rectangular field = 80
∴ Length to breadth ratio = 260:80 = 13:4
4
Out of 80 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 5:8
Solution
Total Number of students = 80
Number of students prefer football = 20
Number of students prefer baseball = 28
Number of students prefer tennis =80 - (20 + 28) = 32
∴ Number of students who prefer football to number of students who prefer tennis ratio = 20:32 = 5:8
5
There are 160 teachers in a school of 2760 students. Find number of teachers to number of students ratio.
number of teachers to number of students ratio is 4:69
Solution
Total Number of teachers = 160
Total Number of students = 2760
∴ Number of teachers to number of students ratio = 160:2760 = 4:69
6
In a city of 12560 people, 5720 are government employees and the remaining are self-employed. Find government employees to self-employed ratio.
Government employees to self-employed ratio is 143:171
Solution
Number of people in the city = $12560
Number of Government employees = $5720
Self employed = 12560 - 5720 = 6840
∴ Government employees to self-employed ratio = 5720:6840 = 143:171
7
Derek’s monthly income is $1150 and him savings is $230. Find savings to expenses ratio.
Savings to expenses ratio is 1:4
Solution
Derek's Income = $1150
Savings = $230
Expenses = 1150 - 230 = 920
∴ savings to expenses ratio = 230:920 = 1:4
8
Out of 120 students in a class, 50 are boys. Find boys to girls ratio.
Boys to girls ratio is 5:7
Solution
Total Number of students = 120
boys = 50
girls = 120 - 50 = 70
∴ Boys to girls ratio = 50:70 = 5:7
9
Length and breadth of a rectangular field are 180 feet and 36 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 = 180
breadth of a rectangular field = 36
∴ Length to breadth ratio = 180:36 = 5:1
10
Out of 28 students in a class, 6 prefer football, 16 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 = 28
Number of students prefer football = 6
Number of students prefer baseball = 16
Number of students prefer tennis =28 - (6 + 16) = 6
∴ Number of students who prefer football to number of students who prefer tennis ratio = 6:6 = 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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