Jason’s monthly income is $960 and him savings is $400. 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 196 students in a class, 70 are boys. Find boys to girls ratio.
3
Length and breadth of a rectangular field are 220 feet and 40 feet respectively. Find the ratio of length to breadth of the field.
4
Out of 72 students in a class, 20 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.
5
There are 150 teachers in a school of 4375 students. Find number of teachers to number of students ratio.
6
In a city of 16850 people, 7350 are government employees and the remaining are self-employed. Find government employees to self-employed ratio.
7
Hilda’s monthly income is $720 and her savings is $180. Find savings to expenses ratio.
8
Out of 144 students in a class, 32 are boys. Find boys to girls ratio.
9
Length and breadth of a rectangular field are 180 feet and 40 feet respectively. Find the ratio of length to breadth of the field.
10
Out of 128 students in a class, 40 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.
Answers Key
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1
Jason’s monthly income is $960 and him savings is $400. Find savings to expenses ratio.
Savings to expenses ratio is 5:7
Solution
Jason's Income = $960
Savings = $400
Expenses = 960 - 400 = 560
∴ savings to expenses ratio = 400:560 = 5:7
Savings = $400
Expenses = 960 - 400 = 560
∴ savings to expenses ratio = 400:560 = 5:7
2
Out of 196 students in a class, 70 are boys. Find boys to girls ratio.
Boys to girls ratio is 5:9
Solution
Total Number of students = 196
boys = 70
girls = 196 - 70 = 126
∴ Boys to girls ratio = 70:126 = 5:9
boys = 70
girls = 196 - 70 = 126
∴ Boys to girls ratio = 70:126 = 5:9
3
Length and breadth of a rectangular field are 220 feet and 40 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 = 220
breadth of a rectangular field = 40
∴ Length to breadth ratio = 220:40 = 11:2
breadth of a rectangular field = 40
∴ Length to breadth ratio = 220:40 = 11:2
4
Out of 72 students in a class, 20 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 5:7
Solution
Total Number of students = 72
Number of students prefer football = 20
Number of students prefer baseball = 24
Number of students prefer tennis =72 - (20 + 24) = 28
∴ Number of students who prefer football to number of students who prefer tennis ratio = 20:28 = 5:7
Number of students prefer football = 20
Number of students prefer baseball = 24
Number of students prefer tennis =72 - (20 + 24) = 28
∴ Number of students who prefer football to number of students who prefer tennis ratio = 20:28 = 5:7
5
There are 150 teachers in a school of 4375 students. Find number of teachers to number of students ratio.
number of teachers to number of students ratio is 6:175
Solution
Total Number of teachers = 150
Total Number of students = 4375
∴ Number of teachers to number of students ratio = 150:4375 = 6:175
Total Number of students = 4375
∴ Number of teachers to number of students ratio = 150:4375 = 6:175
6
In a city of 16850 people, 7350 are government employees and the remaining are self-employed. Find government employees to self-employed ratio.
Government employees to self-employed ratio is 147:190
Solution
Number of people in the city = $16850
Number of Government employees = $7350
Self employed = 16850 - 7350 = 9500
∴ Government employees to self-employed ratio = 7350:9500 = 147:190
Number of Government employees = $7350
Self employed = 16850 - 7350 = 9500
∴ Government employees to self-employed ratio = 7350:9500 = 147:190
7
Hilda’s monthly income is $720 and her savings is $180. Find savings to expenses ratio.
Savings to expenses ratio is 1:3
Solution
Hilda's Income = $720
Savings = $180
Expenses = 720 - 180 = 540
∴ savings to expenses ratio = 180:540 = 1:3
Savings = $180
Expenses = 720 - 180 = 540
∴ savings to expenses ratio = 180:540 = 1:3
8
Out of 144 students in a class, 32 are boys. Find boys to girls ratio.
Boys to girls ratio is 2:7
Solution
Total Number of students = 144
boys = 32
girls = 144 - 32 = 112
∴ Boys to girls ratio = 32:112 = 2:7
boys = 32
girls = 144 - 32 = 112
∴ Boys to girls ratio = 32:112 = 2:7
9
Length and breadth of a rectangular field are 180 feet and 40 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 = 180
breadth of a rectangular field = 40
∴ Length to breadth ratio = 180:40 = 9:2
breadth of a rectangular field = 40
∴ Length to breadth ratio = 180:40 = 9:2
10
Out of 128 students in a class, 40 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 5:4
Solution
Total Number of students = 128
Number of students prefer football = 40
Number of students prefer baseball = 56
Number of students prefer tennis =128 - (40 + 56) = 32
∴ Number of students who prefer football to number of students who prefer tennis ratio = 40:32 = 5:4
Number of students prefer football = 40
Number of students prefer baseball = 56
Number of students prefer tennis =128 - (40 + 56) = 32
∴ Number of students who prefer football to number of students who prefer tennis ratio = 40:32 = 5:4
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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