The number of workers in company A is 80% of that in company B and the average weight of workers of company A is 50% more than that of workers of company B. If the total weight of all the workers of both the companies together is 4840 kg, then what is the total weight of workers of company A?
The number of workers in company A is 80% of that in company B and the average weight of workers of company A is 50% more than that of workers of company B. If the total weight of all the workers of both the companies together is 4840 kg, then what is the total weight of workers of company A? Correct Answer 2640 kg
Let the number of workers in company B be x.
So, the number of workers in company A = x × 80/100 = 4x/5
Also, let the average weight of workers of company B be y.
So, the average weight of workers of company A = y × 150/100 = 3y/2
According to the question:
+ = 4840
(6xy/5) + xy = 4840
11xy/5 = 4840
xy = 2200
The total weight of workers of company B = xy = 2200 kg
So, the total weight of workers of company A = 4840 - 2200 = 2640 kg
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Feb 20, 2025