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Questions10
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1

The cost of 5 chairs is $90. Find the numbers of such chairs that can be purchased for $198?

2

The cost of uniforms for 12 students is $144. How many students can get uniform for $60?

3

Jacob buys 7 tennis balls for $28. How much will he spend to buy 13 tennis balls at the same rate?

4

If 15 persons can bulid a wall length of 7500 feet, how many persons are required to build a wall length of 1000 feet.

5

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?

6

On her trip, Iva takes an average 5 hours to travel 50 miles. How much distance she will travel in 8 hours?

7

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?

8

The cost of 2 lbs whole wheat is $10. Find the cost of 9 lbs whole wheat?

9

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?

10

What is the cost of apples weighing 5 lbs, if the cost of apples weighing 10 lbs is $30?

Answers Key

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1

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

2

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

3

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

4

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.

5

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

6

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

7

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

8

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

9

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

10

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

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.

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.

Teachers, 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.

Students, teachers, tutors or parents can generate unlimited set of questions and answers by using this "**NEW WORKSHEET**" button to prepare exam, assignments, classwork or homework problems, or step by step calculation on how to find the missing term in the direct variation word problems

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