Question

Out of 288 persons in a company, 112 are men, and the remaining are women. The ratio of the number of men to the total number of persons is:

A. 0.304166666666667
B. 0.2625
C. 0.3875
D. 7:8

Answer 1

To find the ratio of the number of men to the total number of persons, we need to divide the number of men by the total number of persons in the company.

In this case, there are 112 men out of a total of 288 persons in the company.

So, the ratio of the number of men to the total number of persons is:

112 men / 288 total persons

To simplify the ratio, we can divide both numbers by their greatest common divisor, which is 8:

112 men ÷ 8 = 14 men

288 total persons ÷ 8 = 36 total persons

Therefore, the simplified ratio is:

14 men : 36 total persons

This ratio can also be expressed as:

14/36

To further simplify the ratio, we can divide both numbers by their greatest common divisor, which is 2:

14 men ÷ 2 = 7 men

36 total persons ÷ 2 = 18 total persons

So, the simplified ratio is:

7 men : 18 total persons

However, none of the given options match this ratio exactly. The closest option is D. 7:8.

Therefore, the ratio of the number of men to the total number of persons is 7:8, option D.

Explanation:

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Answer 2

To find the ratio of the number of men to the total number of persons, divide the number of men by the total number of persons.

Ratio = Number of Men / Total Number of Persons

Ratio = 112 / 288

Simplifying the ratio by dividing both numbers by their greatest common divisor (8):

Ratio = 14 / 36

Simplifying further by dividing both numbers by 2:

Ratio = 7 / 18

Therefore, the ratio of the number of men to the total number of persons is 7:18.

The closest option is D. 7:8.