# Answer to Question #4140 in Calculus for ong

Question #4140

The total earnings of company A and company B was $9 500 000.The total earnings of company B and C was $5 450 000.Company A earnings was 6 times as much as company C earnings.How much did company B earn?

Expert's answer

Let's denote the total earnings of company A as X, of company B as Y, the company C as Z. Therefore we can construct the system of equations:

X + Y = 9 500 000

Y + Z = 5 450 000

X = 6Z

6Z + Y = 9,500,000

Z + Y = 5,450,000

5Z = 4, 050,000

Z = 810,000

X = 6Z = 4,860,000

Y = 5,450,000 - Z = 5,450,000 - 810,000 = 4,640,000

Answer: The total earnings of company A was $4,860,000, the total earnings of company B was $4,640,000, the total earnings of company C was $810,000.

X + Y = 9 500 000

Y + Z = 5 450 000

X = 6Z

6Z + Y = 9,500,000

Z + Y = 5,450,000

5Z = 4, 050,000

Z = 810,000

X = 6Z = 4,860,000

Y = 5,450,000 - Z = 5,450,000 - 810,000 = 4,640,000

Answer: The total earnings of company A was $4,860,000, the total earnings of company B was $4,640,000, the total earnings of company C was $810,000.

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