A factory employs three types of workers: skilled, semi-skilled, and unskilled. Skilled workers earn an average monthly salary of 40,000, semi-skilled workers earn 25,000, and unskilled workers earn 15,000. The number of skilled workers is double the number of semi-skilled workers, and the number of unskilled workers is 50% more than the number of skilled workers. If the total monthly salary of all workers combined is 4,500,000, how many workers are there in total?
SOLUTION: Let the number of semi-skilled workers = x Then, number of skilled workers = 2x And number of unskilled workers = 150% of 2x = 3x Total workers = x+2x+3x = 6x Total monthly salary of all the workers = 40,000 × 2x + 25,000 × x + 15,000 × 3x 45,00,000 = 80,000x + 25,000x + 45,000x 45,00,000 = 150,000x X = 30 the total number of workers in the factory = 6x = 180
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