Problems on Unitary Method using Direct Variation

We will learn how to solve problems on unitary method using direct variation.

We know, if two quantities are related in such a way that the increase in one quantity results in a corresponding increases in the other and vice versa, then such a variation is called a direct variation.

Solved problems on unitary method using direct variation:

1. A lobour get $980 for 14 days work. How many days should he work to get $2100?

Solution:

This is also a situation of direct variation as money is received for working more days.

$980 is earned by a labour in 14 days.

$1 is earned by a labour in 14/980 days.

$2100 is earned by a labour in 14/980 × 2100 days.

Therefore, $2100 is earned by a labour in 30 days.

2. If 4 men and 5 women can earn $480 in a day, find how much 9 men and 11 women will earn in a day?

Solution:

This is a situation of direction variation.

More men can earn more in a day.

In a day 4 men can earn $ 480

1 men can earn $480/4 and 9 men can earn $480/4 × 9 = $1080

Also, 5 women can earn $ 480 and 1 woman can earn $ 480/5 = $96

11 women can earn = $ 96 × 11 = $1056

Therefore, 9 men and 11 women can earn $(1080 + 1056) = $ 2136



3. A car travels 360 km in 60 liters of petrol. How much distance will it cover in 12 liters of petrol?

Solution:

This is also a situation of direct variation.

Less quantity of petrol, less distance covered.

In 60 liters of petrol, distance covered = 360 km.

In 1 liter of petrol, distance covered = 360/60 km.

In 12 liters of petrol, distance covered = 360/60 × 12 km

Therefore, in 12 liters of petrol, distance covered = 72 km.

Problems Using Unitary Method

Situations of Direct Variation

Situations of Inverse Variation

Direct Variations Using Unitary Method

Direct Variations Using Method of Proportion

Inverse Variation Using Unitary Method

Inverse Variation Using Method of Proportion

Problems on Unitary Method using Direct Variation

Problems on Unitary Method Using Inverse Variation

Mixed Problems Using Unitary Method





7th Grade Math Problems

From Problems on Unitary Method using Direct Variation to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



Share this page: What’s this?

Recent Articles

  1. Tangrams Math | Traditional Chinese Geometrical Puzzle | Triangles

    Apr 17, 24 01:53 PM

    Tangrams
    Tangram is a traditional Chinese geometrical puzzle with 7 pieces (1 parallelogram, 1 square and 5 triangles) that can be arranged to match any particular design. In the given figure, it consists of o…

    Read More

  2. Time Duration |How to Calculate the Time Duration (in Hours & Minutes)

    Apr 17, 24 01:32 PM

    Duration of Time
    We will learn how to calculate the time duration in minutes and in hours. Time Duration (in minutes) Ron and Clara play badminton every evening. Yesterday, their game started at 5 : 15 p.m.

    Read More

  3. Worksheet on Third Grade Geometrical Shapes | Questions on Geometry

    Apr 16, 24 02:00 AM

    Worksheet on Geometrical Shapes
    Practice the math worksheet on third grade geometrical shapes. The questions will help the students to get prepared for the third grade geometry test. 1. Name the types of surfaces that you know. 2. W…

    Read More

  4. 4th Grade Mental Math on Factors and Multiples |Worksheet with Answers

    Apr 16, 24 01:15 AM

    In 4th grade mental math on factors and multiples students can practice different questions on prime numbers, properties of prime numbers, factors, properties of factors, even numbers, odd numbers, pr…

    Read More

  5. Worksheet on Factors and Multiples | Find the Missing Factors | Answer

    Apr 15, 24 11:30 PM

    Worksheet on Factors and Multiples
    Practice the questions given in the worksheet on factors and multiples. 1. Find out the even numbers. 27, 36, 48, 125, 360, 453, 518, 423, 54, 58, 917, 186, 423, 928, 358 2. Find out the odd numbers.

    Read More

Worksheet on Direct Variation using Unitary Method

Worksheet on Direct variation using Method of Proportion

Worksheet on Word Problems on Unitary Method

Worksheet on Inverse Variation Using Unitary Method

Worksheet on Inverse Variation Using Method of Proportion