Find the Ratio & Proportion for the Following

Name Grade School
Date Questions10 Score

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?

Answers Key
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

Find the Ratio and Proportion (Word Problems) Worksheet

Find the ratio and proportion (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 find the quantity based on the ratio.

How to Use this Worksheet

In this sixth grade ratio & proportion worksheet, students are required to find the ratio (“find the value of x”) and proportion from the given total quantity. To find the proportion value for antecedent or consequent of the ratio, find what is the value of 1 part of total number of parts in the ratio. Multiply 1 part with as many antecedents to find the total quantity for the antecedents. Similarly, multiply as many consequents to find the total quantity of consequents in the given ratio.

Answers Key

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