A car needs 6 gallons of gas to cover a distance of 42 miles. How much gallon of gas will be required for the car to cover a distance of 119 miles?
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Find the Missing Term in the Direct Variation Word Problems
Name
Grade
School
Date
Questions10
Score
1
2
What is the cost of apples weighing 5 lbs, if the cost of apples weighing 10 lbs is $30?
3
The cost of 5 chairs is $90. Find the numbers of such chairs that can be purchased for $198?
4
The cost of uniforms for 12 students is $144. How many students can get uniform for $60?
5
Jacob buys 7 tennis balls for $28. How much will he spend to buy 13 tennis balls at the same rate?
6
If a person reads $180 pages from a book in 15 hours, how many pages will he read in 3 hours at the same speed?
7
If 15 persons can bulid a wall length of 7500 feet, how many persons are required to build a wall length of 1000 feet.
8
A flight of American Airlines has covered the distance of 3900 miles in 13 hours. How much average distance does it cover in 7 hours?
9
The cost of 2 lbs whole wheat is $10. Find the cost of 9 lbs whole wheat?
10
On her trip, Iva takes an average 5 hours to travel 50 miles. How much distance she will travel in 8 hours?
Answers Key
Show All Workout
1
A car needs 6 gallons of gas to cover a distance of 42 miles. How much gallon of gas will be required for the car to cover a distance of 119 miles?
17 gallons of gas required to cover 119 miles
Solution
If they are in direct variation
Volume of gas consumption get increased, if distance increased
6 : y = 42 : 119y = 17
17 gallons of gas required to cover 119 miles
| Quantity (gallon) | Distance (miles) |
|---|---|
| 6 | 42 |
| y | 119 |
Volume of gas consumption get increased, if distance increased
6 : y = 42 : 119
y =
6 x 11942
17 gallons of gas required to cover 119 miles
2
What is the cost of apples weighing 5 lbs, if the cost of apples weighing 10 lbs is $30?
The cost of apples weighing 5 lbs is $15
Solution
If they are in direct variation
Total cost of apples get decreased, if quantity is decreased
10 : 5 = 30 : yy = 15
The cost of apples weighing 5 lbs is $15
| Quantity (lbs) | Cost of Apples |
|---|---|
| 10 | 30 |
| 5 | y |
Total cost of apples get decreased, if quantity is decreased
10 : 5 = 30 : y
y =
5 x 3010
The cost of apples weighing 5 lbs is $15
3
The cost of 5 chairs is $90. Find the numbers of such chairs that can be purchased for $198?
11 chairs can be purchased for $198
Solution
If they are in direct variation
Total number of chairs increased, if total cost is increased
5 : y = 90 : 198y = 11
11 chairs can be purchased for $198
| No of chairs | cost of chairs ($) |
|---|---|
| 5 | 90 |
| y | 198 |
Total number of chairs increased, if total cost is increased
5 : y = 90 : 198
y =
5 x 19890
11 chairs can be purchased for $198
4
The cost of uniforms for 12 students is $144. How many students can get uniform for $60?
5 students can get uniforms for $60
Solution
If they are in direct variation,
Total number of uniforms get drecreased, if total cost is decreased
12 : y = 144 : 60y = 5
5 students can get uniforms for $60
| No of students | cost of uniforms ($) |
|---|---|
| 12 | 144 |
| y | 60 |
Total number of uniforms get drecreased, if total cost is decreased
12 : y = 144 : 60
y =
12 x 60144
5 students can get uniforms for $60
5
Jacob buys 7 tennis balls for $28. How much will he spend to buy 13 tennis balls at the same rate?
Jacob should pay $52 to buy 13Tennis balls
Solution
If they are in direct variation,
Total cost of Tennis balls get increased, if quantity is increased
7 : 13 = 28 : yy = 52
Jacob should pay $52 to buy 13Tennis balls
| No of Tennis balls | cost of Tennis balls ($) |
|---|---|
| 7 | 28 |
| 13 | y |
Total cost of Tennis balls get increased, if quantity is increased
7 : 13 = 28 : y
y =
13 x 287
Jacob should pay $52 to buy 13Tennis balls
6
If a person reads $180 pages from a book in 15 hours, how many pages will he read in 3 hours at the same speed?
36 pages in 3 hours pages
Solution
If they are in direct variation,
Total number of pages reading get decreased, if hours is decreased
15 : 3 = 180 : yy = 36
36 pages will read in 3 hours
| Hours (hrs) | No of Pages |
|---|---|
| 15 | 180 |
| 3 | y |
Total number of pages reading get decreased, if hours is decreased
15 : 3 = 180 : y
y =
3 x 18015
36 pages will read in 3 hours
7
If 15 persons can bulid a wall length of 7500 feet, how many persons are required to build a wall length of 1000 feet.
2 persons required to build a wall length of 1000 feet
Solution
If they are in direct variation
Total number of persons required get get decreased, if length of wall is decreased
15 : y = 7500 : 1000y = 2
2 persons are required to build a wall length of 1000 feet.
| No of persons | length of wall (feet) |
|---|---|
| 15 | 7500 |
| y | 1000 |
Total number of persons required get get decreased, if length of wall is decreased
15 : y = 7500 : 1000
y =
15 x 10007500
2 persons are required to build a wall length of 1000 feet.
8
A flight of American Airlines has covered the distance of 3900 miles in 13 hours. How much average distance does it cover in 7 hours?
American Airlines do cover 2100 miles in 7 hours
Solution
If they are in direct variation
Total distance get decreased, if hours is decreased
13 : 7 = 3900 : yy = 2100
American Airlines do cover 2100 miles in 7 hours
| Hours (hrs) | Distance (miles) |
|---|---|
| 13 | 3900 |
| 7 | y |
Total distance get decreased, if hours is decreased
13 : 7 = 3900 : y
y =
7 x 390013
American Airlines do cover 2100 miles in 7 hours
9
The cost of 2 lbs whole wheat is $10. Find the cost of 9 lbs whole wheat?
$45 spend to buy 9 lbs whole wheat
Solution
If they are in direct variation,
Total cost of whole wheat get increased, if quantity is increased
2 : 9 = 10 : yy = 45
$45 spend to buy 9 lbs whole wheat
| Quantity (lbs) | cost of whole wheat ($) |
|---|---|
| 2 | 10 |
| 9 | y |
Total cost of whole wheat get increased, if quantity is increased
2 : 9 = 10 : y
y =
9 x 102
$45 spend to buy 9 lbs whole wheat
10
On her trip, Iva takes an average 5 hours to travel 50 miles. How much distance she will travel in 8 hours?
Iva would cover 80 miles in 8 hours
Solution
If they are in direct variation,
The distance get increased, if time is increased
5 : 8 = 50 : yy = 80
Iva would cover 80 miles in 8 hours
| Time (hrs) | Distance (miles) |
|---|---|
| 5 | 50 |
| 8 | y |
The distance get increased, if time is increased
5 : 8 = 50 : y
y =
8 x 505
Iva would cover 80 miles in 8 hours
Find the Antecedent or Consequent in the Direct Variation Worksheet
Find the missing term in the direct variation (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 missing term (antecedent or consequent) in the ratio and proportion word problems.
How to Use this Worksheet
In this sixth grade ratio & proportion worksheet, students are required to find the missing term in the direct variation word problems. To find the missing values in the direct variation, find the value of missing antecedent or consequent the ratio in proportions. Apply the law of proportion to find the missing term in the proportion. The law of proportion states that the product of means is always equal to the product of extremes if two ratios are in direct variation or proportion.
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 the missing term in the direct variation word problems of this worksheet.
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