90.5k views
0 votes
2. In a certain company, the senior employees have an average of 16 years of work experience and the junior employees have an average of 4 years of work experience. If the average number of years of experience for all the senior and junior members is 7 years, then what is the ratio of senior members to junior members at the company

User Johlrich
by
7.5k points

1 Answer

7 votes

Answer:

The ratio of senior members to junior members at the company is 1 : 3

Explanation:

The given average number of years of experience of the senior employees, x = 16 years

The given average number of years of experience of the junior employees, y = 7 years

Let a represent the number of senior employees in the company, and let b represent the number of junior workers in the company, we have;

(16·a + 4·b)/(a + b) = 7

∴ (16·a + 4·b) = (a + b) × 7 = 7·a + 7·b

16·a - 7·a = 7·b - 4·b

9·a = 3·b

a/b = 3/9 = 1/3

a/b = 1/3

The above equation, expressed as a ratio is, a : b = 1 : 3

Therefore;

The ratio of senior members to junior members at the company, a : b = 1 : 3.

User Widgg
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories