Find the missing value in the direct variation 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 Missing Value in the Direct Variation

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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?

2

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?

3

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

4

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?

5

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

6

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

7

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

8

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

9

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

10

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

Solved Worksheet Problems

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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

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

3

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.

4

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

5

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

6

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

7

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

8

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

9

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

10

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

Online Test

Start my Challenge

The cost of 7 lbs whole wheat is $35. Find the cost of 3 lbs whole wheat?

Jacob buys 16 tennis balls for $64. How much will he spend to buy 12 tennis balls at the same rate?

Maria buys 19 tennis balls for $76. How much will she spend to buy 7 tennis balls at the same rate?

Amy buys 20 tennis balls for $80. How much will she spend to buy 3 tennis balls at the same rate?

The cost of uniforms for 11 students is $132. How many students can get uniform for $84?

Question:

Find the unknown value of x in the proportion.

3:6 :: x:10

Answer:

Find the unknown value of x in the proportion.

3:6 :: x:10

Answer:

step 1

Write the given ratios in fraction form

3:6 =

36

x:10 =

x10

step 2

Find the Means & Extremes

3 x 10 = x x 6

Extremes = 3, 10

Means = 6, x

36

=

x10

Extremes = 3, 10

Means = 6, x

step 3

Rearrange the statement to find x

x = 5

x =

3 x 106

step 4

The missing term in the proportion is 5

Therefore the proportion is 3:6 = 5:10

Therefore the proportion is 3:6 = 5:10