Sophie’s monthly income is $1400 and her savings is $560. Find savings to expenses ratio.
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In Read & Write the Simplified Ratio for the Following
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1
2
Out of 144 students in a class, 48 are boys. Find boys to girls ratio.
3
Length and breadth of a rectangular field are 140 feet and 50 feet respectively. Find the ratio of length to breadth of the field.
4
Out of 52 students in a class, 8 prefer football, 32 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 50 teachers in a school of 1190 students. Find number of teachers to number of students ratio.
6
In a city of 14960 people, 4600 are government employees and the remaining are self-employed. Find government employees to self-employed ratio.
7
Eric’s monthly income is $1260 and him savings is $315. Find savings to expenses ratio.
8
Out of 66 students in a class, 30 are boys. Find boys to girls ratio.
9
Length and breadth of a rectangular field are 80 feet and 24 feet respectively. Find the ratio of length to breadth of the field.
10
Out of 24 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
Show All Workout
1
Sophie’s monthly income is $1400 and her savings is $560. Find savings to expenses ratio.
Savings to expenses ratio is 2:3
Solution
Sophie's Income = $1400
Savings = $560
Expenses = 1400 - 560 = 840
∴ savings to expenses ratio = 560:840 = 2:3
Savings = $560
Expenses = 1400 - 560 = 840
∴ savings to expenses ratio = 560:840 = 2:3
2
Out of 144 students in a class, 48 are boys. Find boys to girls ratio.
Boys to girls ratio is 1:2
Solution
Total Number of students = 144
boys = 48
girls = 144 - 48 = 96
∴ Boys to girls ratio = 48:96 = 1:2
boys = 48
girls = 144 - 48 = 96
∴ Boys to girls ratio = 48:96 = 1:2
3
Length and breadth of a rectangular field are 140 feet and 50 feet respectively. Find the ratio of length to breadth of the field.
Length to breadth ratio is 14:5
Solution
Length of a rectangular field = 140
breadth of a rectangular field = 50
∴ Length to breadth ratio = 140:50 = 14:5
breadth of a rectangular field = 50
∴ Length to breadth ratio = 140:50 = 14:5
4
Out of 52 students in a class, 8 prefer football, 32 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 2:3
Solution
Total Number of students = 52
Number of students prefer football = 8
Number of students prefer baseball = 32
Number of students prefer tennis =52 - (8 + 32) = 12
∴ Number of students who prefer football to number of students who prefer tennis ratio = 8:12 = 2:3
Number of students prefer football = 8
Number of students prefer baseball = 32
Number of students prefer tennis =52 - (8 + 32) = 12
∴ Number of students who prefer football to number of students who prefer tennis ratio = 8:12 = 2:3
5
There are 50 teachers in a school of 1190 students. Find number of teachers to number of students ratio.
number of teachers to number of students ratio is 5:119
Solution
Total Number of teachers = 50
Total Number of students = 1190
∴ Number of teachers to number of students ratio = 50:1190 = 5:119
Total Number of students = 1190
∴ Number of teachers to number of students ratio = 50:1190 = 5:119
6
In a city of 14960 people, 4600 are government employees and the remaining are self-employed. Find government employees to self-employed ratio.
Government employees to self-employed ratio is 115:259
Solution
Number of people in the city = $14960
Number of Government employees = $4600
Self employed = 14960 - 4600 = 10360
∴ Government employees to self-employed ratio = 4600:10360 = 115:259
Number of Government employees = $4600
Self employed = 14960 - 4600 = 10360
∴ Government employees to self-employed ratio = 4600:10360 = 115:259
7
Eric’s monthly income is $1260 and him savings is $315. Find savings to expenses ratio.
Savings to expenses ratio is 1:3
Solution
Eric's Income = $1260
Savings = $315
Expenses = 1260 - 315 = 945
∴ savings to expenses ratio = 315:945 = 1:3
Savings = $315
Expenses = 1260 - 315 = 945
∴ savings to expenses ratio = 315:945 = 1:3
8
Out of 66 students in a class, 30 are boys. Find boys to girls ratio.
Boys to girls ratio is 5:6
Solution
Total Number of students = 66
boys = 30
girls = 66 - 30 = 36
∴ Boys to girls ratio = 30:36 = 5:6
boys = 30
girls = 66 - 30 = 36
∴ Boys to girls ratio = 30:36 = 5:6
9
Length and breadth of a rectangular field are 80 feet and 24 feet respectively. Find the ratio of length to breadth of the field.
Length to breadth ratio is 10:3
Solution
Length of a rectangular field = 80
breadth of a rectangular field = 24
∴ Length to breadth ratio = 80:24 = 10:3
breadth of a rectangular field = 24
∴ Length to breadth ratio = 80:24 = 10:3
10
Out of 24 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 1:4
Solution
Total Number of students = 24
Number of students prefer football = 2
Number of students prefer baseball = 14
Number of students prefer tennis =24 - (2 + 14) = 8
∴ Number of students who prefer football to number of students who prefer tennis ratio = 2:8 = 1:4
Number of students prefer football = 2
Number of students prefer baseball = 14
Number of students prefer tennis =24 - (2 + 14) = 8
∴ Number of students who prefer football to number of students who prefer tennis ratio = 2:8 = 1:4
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 KeyTeachers, tutors, parents or students can check or validate the solved questions by using the corresponding answers key which comprises the step by step work on how to find simplified ratio for the ratio and proportion word problems.
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