Approximation Ratio (Nandan Nayak)

Introduction to approximation ratio:

Ratio is processes that are used to define in the form of word to differentiate the word problems in the given question. The ratio is the numerical expression representing a part of a larger whole or proportion. A ratio consists of two numbers separated by a colon. Ratio is numbers can be compared as multiples of one another. The word approximation radio defines the number that is not exact, but closes enough to be used.

Representation of approximation ratio:

The given two numbers is done by a colon. Then they are said to be ratio

Colon is represented as :

Rules to be followed for calculation approximation ratio:

Rule 1: If the value specified after decimal point is five or more than five we can add one to the previous number of the point by rounding the value.

Examples based on approximation ratio definition:

Example 1: Problems based on approximate ratio.

In a pet shop they are puppies and pussy cats, the ratio of puppies and pussy cats are 2:4. If the shop contains 85 pussy cats, how many puppies will be there .Find the approximation ratio?

Solution:

Given: The pet shop contains 80 pussy cats,

Now, we are going to assign the variable:

Let x = puppies

The item is now found to be written in ratio fraction,

Puppies / pussy cats = '2/4 = x/ 85'

Cross multiplication is to be done.

So, '2 * 85= 4x'

' x= 170/4'

' x = 42.5'

' x=43.'

The value is five after the decimal point we are adding one to the previous number and rounding the value.

Hence the approximation ratio of 43 puppies is present.

Example 2: Problems based on approximation ratio.

In an pond they are fishes and snakes , the ratio of fishes and snakes are found is 6:9 .If the tank contains 25 snakes , how many fishes are there in pond find its approximation ratio?

Solution:

Given: The pond contains 25 snakes,

Now, we are going to assign the variable:

Let x = fishes

The item is now found to be written in ratio fraction,

Fishes / snakes ='6/9=x/25'

Cross multiplication is to be done.

So, '6*25 =9x'

' 150=9x'

'x=150/9'

' x = 16.66'

' x = 17.'

The value is more than five after the decimal point we are adding one to the number before the decimal point.

Hence approximation ratio of 17 fishes is there inside the tank.

Problems to solve based on approximation ratio:

In a zoo they are elephants and horses, the ratio of elephants and horses are found in ratio of 4: 6 .If the zoo contains 25 horses, how many elephants are there find the approximation ratio?
Answer: 17 elephants.

In a forest they are monkeys and lions, the ratio of monkeys and lions, are found in ratio of 2:4.If the circus contains 225 lions, how many monkeys are there?
Answer: 113 monkeys.

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