Question

If 55 is divided into three parts in ratio, 1/2:1/4:1/6. Then first part is

Answer 1

$\frac{1}{2} :\frac{1}{4} :\frac{1}{6}$ = 6:3:2

first part = $55$ × $\frac{6}{11}$ = 30

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Answer 2

Concept

A ratio is a term used to compare two or more numbers in mathematics. It is a way of comparing one quantity to another to indicate how big or small it is. A ratio divides two quantities and compares them. The term "antecedent" refers to the dividend, whereas "consequent" refers to the divisor.

Given

Given that the number 55 is divided into three parts in ratio ½ : ¼ : ⅙

Find

We have to find the value of the first part.

Solution

Here, the ratio ½ : ¼ : ⅙ can also be written as ½ * 12 : ¼ * 12 : ⅙ * 12 i.e. 6 : 3 : 2.

So, the first part = 55 * 6/(6 + 3 + 2) = 55 * 6/11 = 5 * 6 = 30

Hence, the value of the first part is 30.

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