# Find the Ratio and Proportion (Word Problems): Worksheets, Online Test and Calculators

Find the ratio and proportion (word problems) worksheets, solved worksheet problems or exercises with step-by-step work, formative assessment as online test, calculator and more learning resources to learn, practice, assess and master the basic math skills of ratio and proportion.

Find the Ratio and Proportion (Word Problems)
Name
Date

1
Divide 80 hours in the ratio 2:6
2
In a city of 384090 people, the ratio of men to women is 3 : 7. Find the number of men and women?
3
The ratio between length and breadth of a rectangle is 5:6. If the breadth is 534 inch, find the length?
4
If \$3283 is divided between Kevin and Jonathan in 3:4 ratio, who will get more and how much more?
5
The ratio of expenditure and savings in a family is 4:9. If the expenditure is \$2296. What is the savings?
6
Divide \$994 in the ratio 5:9
7
Iva and Sophia decides to share the price money of competition in 2:3 ratio respectively. If they receive \$4575 together. Find the share of each
8
The ratio between length and breadth of a rectangle is 4:2. If the breadth is 40 inch, find the length?
9
The ratio of expenditure and savings in a family is 6:8. If the expenditure is \$2904. What is the savings?
10
In a city of 474621 people, the ratio of men to women is 3 : 4. Find the number of men and women?

Solved Worksheet Problems
Show All Workout
1
Divide 80 hours in the ratio 2:6
20 : 60
Solution
2:6 means the first quantity is 2 parts and the second quantity in 6 parts.
The total number of parts = 2 + 6 = 8
8parts = 80
∴ 1 part =
808
= 10
∴ 2 parts = 10 x 2 = 20
and 6 parts = 10 x 6 = 60
2
In a city of 384090 people, the ratio of men to women is 3 : 7. Find the number of men and women?
Number of men in the city = 115227
Number of women in the city = 268863
Solution
Number of people in the city = 384090
Ratio of men to women = 3 : 7
The total number of parts = 3 + 7 = 10
10parts = 384090
∴ 1 part =
38409010
= 38409
∴ Number of men in the city = 38409 x 3 = 115227
and Number of women in the city = 38409 x 7 = 268863
3
The ratio between length and breadth of a rectangle is 5:6. If the breadth is 534 inch, find the length?
Length = 445 inch
Solution
Breadth of the rectangle = 534 inch
The ratio of length to breadth is 5:6
Breadth = 6 part
6 parts = 534 inch
∴ 1 part =
5346
= 89
Length = 5 parts
5 parts = 5 x 89 = 445
∴ Length of the rectangle = 445 inch.
4
If \$3283 is divided between Kevin and Jonathan in 3:4 ratio, who will get more and how much more?
Kevin get \$1407
Jonathan get \$1876

Jonathan get \$469 more than Kevin
Solution
Total Money = \$3283
Ratio of Kevin and Jonathan = 3 : 4
The total number of parts = 3 + 4 = 7
7 parts = 3283
∴ 1 part =
32837
= 469
Kevin's amount = 469 x 3 = \$1407
Jonathan's amount = 469 x 4 = \$1876
Jonathan get 1876
5
The ratio of expenditure and savings in a family is 4:9. If the expenditure is \$2296. What is the savings?
Savings = \$5166
Solution
The ratio of expenditure and savings is 4:9
Expenditure of the family = \$2296
Expenditure = 4 part
4 parts = \$2296
∴ 1 part =
22964
= 574
Savings = 9 parts
9 parts = 9 x 574 = 5166
∴ Savings of the family = \$5166
6
Divide \$994 in the ratio 5:9
\$355 : \$639
Solution
5:9 means the first quantity is 5 parts and the second quantity in 9 parts.
The total number of parts = 5 + 9 = 14
14 parts = \$994
∴ 1 part =
99414
= 71
∴ 5 parts = 71 x 5 = \$355
and 9 parts = 71 x 9 = \$639
7
Iva and Sophia decides to share the price money of competition in 2:3 ratio respectively. If they receive \$4575 together. Find the share of each
Iva get \$1830
Sophia get \$2745
Solution
Total price money = \$4575
Ratio of Iva and Sophia = 2 : 3
The total number of parts = 2 + 3 = 5
5 parts = 4575
∴ 1 part =
45755
= 915
∴ Iva's price money = 915 x 2 = \$1830
and Sophia's price money = 915 x 3 = \$2745
8
The ratio between length and breadth of a rectangle is 4:2. If the breadth is 40 inch, find the length?
Length = 80 inch
Solution
Breadth of the rectangle = 40 inch
The ratio of length to breadth is 4:2
Breadth = 2 part
2 parts = 40 inch
∴ 1 part =
402
= 20
Length = 4 parts
4 parts = 4 x 20 = 80
∴ Length of the rectangle = 80 inch.
9
The ratio of expenditure and savings in a family is 6:8. If the expenditure is \$2904. What is the savings?
Savings = \$3872
Solution
The ratio of expenditure and savings is 6:8
Expenditure of the family = \$2904
Expenditure = 6 part
6 parts = \$2904
∴ 1 part =
29046
= 484
Savings = 8 parts
8 parts = 8 x 484 = 3872
∴ Savings of the family = \$3872
10
In a city of 474621 people, the ratio of men to women is 3 : 4. Find the number of men and women?
Number of men in the city = 203409
Number of women in the city = 271212
Solution
Number of people in the city = 474621
Ratio of men to women = 3 : 4
The total number of parts = 3 + 4 = 7
7parts = 474621
∴ 1 part =
4746217
= 67803
∴ Number of men in the city = 67803 x 3 = 203409
and Number of women in the city = 67803 x 4 = 271212

## Worksheet: Find the Ratio and Proportion (Word Problems)

Find the ratio and proportion (word problems) worksheet is the largest collection of practice problems and solved exercises which can be served as homework, classwork or assignment problems for the students to learn, practice, assess, iterate and master the skills of how to solve such ratio and proportion problems in basic mathematics.

Online Test
00:00
Start my Challenge
Divide 132 hours in the ratio 2:9
In a city of 307928 people, the ratio of men to women is 6 : 2. Find the number of men and women?
In a city of 370524 people, the ratio of men to women is 6 : 5. Find the number of men and women?
In a city of 509679 people, the ratio of men to women is 4 : 5. Find the number of men and women?
The ratio of expenditure and savings in a family is 3:7. If the expenditure is \$2805. What is the savings?
Divide 55 hours in the ratio 6:5
Lela and Dorothy decides to share the price money of competition in 4:7 ratio respectively. If they receive \$5995 together. Find the share of each
If \$3038 is divided between Evelyn and Beatrice in 5:2 ratio, who will get more and how much more?
The ratio between length and breadth of a rectangle is 6:8. If the breadth is 88 inch, find the length?
The ratio between length and breadth of a rectangle is 4:8. If the breadth is 368 inch, find the length?

## Online Test: Find the Ratio and Proportion (Word Problems)

This online test to find the ratio and proportion (word problems) is a formative assessment which can be used as homework, classwork or assignment problems to assess and improve the learner's math skills on ratio and proportion.

### Ratio Calculator

Simplify the Ratio
Simplified Ratio
1 : 3 : 4
show workout

## Work with steps - Simplify the Ratio

Question:
Write the ratio 2:6:8 in its reduced form.
Answer:
Find GCF of all values in the given ratio
GCF(2, 6, 8) = 2
Divide each number in the given ratio by GCF
2/2 = 1
6/2 = 3
8/2 = 4
2:6:8 = 1 : 3 : 4
The simplified ratio of 2:6:8 is 1 : 3 : 4

Ratio calculator is a key tool for users to generate step-by-step work to quickly understand the calculation, solve the homework problems, solve the classwork problems, prepare the answer key document for summative and formative assessments or immediately verify the entire calculation for the user supplied input values.