SOLUTION: The average salary of workers in an office $240 per month some of the workers earn $210 per month and the rest earn $330 per month what is the ratio of workers who earns $210 per m

Question 1125446: The average salary of workers in an office $240 per month some of the workers earn $210 per month and the rest earn $330 per month what is the ratio of workers who earns $210 per month to the workers who earns $330 per month0?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
let x = the number of workers who earn 210 per month.
let y = the number of workers who earn 330 per month.
the average salary for each month is 240.

your equation is (210 * x + 330 * y) / (x + y) = 240.

this equation says that the sum of the number of workers who earn 210 per month and the number of workers who earn 330 per month, divided by the total number of workers, gives you the average that each workers makes per month.

multiply both sides of this equation by (x + y) to get (210 * x + 330 * y = 240 * (x + y)

simplify to get 210 * x + 330 * y = 240 * x + 240 * y

subtract 210 * x from both sides of the equation and subtract 240 * y from both sides of the equation to get 330 * y - 240 * y = 240 * x - 210 * x.

combine like terms to get 90 * y = 30 * x.

divide both sides of this equation by 30 and divide both sides of this equation by y to get 90 / 30 = x / y.

simplify to get 3 / 1 = x / y.

that's the ratio of x to y, which is the ratio of the number of workers who make 210 per month to the number of workers who make 330 per month.

as an example, assume the number of workers who earn 330 per month is 50.

since the ratio is 3 to 1, then the number of workers who earn 210 per month is 150.

150 * 210 + 330 * 50 = 48,000.

divide that by the 200 and the average is 240 per month for each worker on the average.

the solution is confirmed to be good.

the solution is that the ratio of the number of workers who earn 210 per month to the number of workers who earn 330 per month is 3 to 1.

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