Ratio Differences

Ratio:

It is a pairs of numbers which are used to formulate comparisons of two or more numbers. It is called as ratio. It can be used to compare two numbers using a fraction. It can be written as different ways such as

2 to 3

2/3

2: 3

Given three different ways are all same.

Terminology of ratio:

The quantity of ratio X and Y can be expressed as

• The ratio of X to Y

• X is to Y

• X: Y

The quantity X and Y are sometimes called as terms with X being the antecedent and Y being the consequent.

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Definition of differences:

Differences:

A difference is the process of comparing or differs from one number with another number. It is used to produce the result of subtracting one number with another number.

Ratio Differences:

A ratio difference is the process of difference between two ratios. It is used to compare one ratio value with another ratio value.

Example problem for ratio differences:

If the fruit seller sells a different types of fruits that are apple, orange and banana. The fruits are in the ratio of 4 to 5 to 6. In the fruit stall, total numbers of fruits in stall are 90. If the fruit stall contains 2 to 3 to 4 ratios after the one day sale of fruits. How many fruits for that day fruit sellers sells. Compare the ratio differences? (Total number of Orange before sale= 30, after sale = 18)

Solution:

Step 1:

For the fruits, assign the variables

Let a = Apples

b= Banana

Write the given items in the ratios as fractions

Apple/ orange = 4/5 = a/30

Banana/ orange = 6/5 = b/30

Step 2:

Solve the above two equations.

Using the cross multiply the two equations

4 × 30 = 5 × a

120 = 5a               divided by 5 on both sides, we get

120/5 = 5a/5

24 = a

There are 24 apples are in the fruit stall

6 × 30 = 5 × b

180 = 5b               divided by 5 on both sides, we get

180/5 = 5b/5

36 = b

There are 36 bananas are in the fruit stall.

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Total number of fruits in the fruit stall = Number of fruits (apples + bananas + Oranges)

= 24 + 30 + 36

= 90

Therefore, the total numbers of fruit in the fruit stall are 90 fruits.

3/a + 4/b + 5/c = 90

Step 3:

2/ 3 = a/ 18

2/ 4 = b/ 18

Solve the above equation

a= 12

b = 10

After sale

Total number of fruits = 12 + 10 + 18

= 40

Differences between two ratio = before sale – After sale

= 90 – 40

= 50

50 fruits are sells on that day.