The ratio of male to female workers in a factory was 6:5. Seven male and five female workers joined this factory, making the ratio 17 : 14. What is the number of workers in the factory now?
185
170
140
155
Let the original number of male workers and female workers be 6x and 5x respectively.
Seven male and five female workers joined this factory, making the ratio 17:14.
(6x + 7)/(5x + 5) = 17/14 :
84x + 98 = 85x + 85 i.e. x = 13
Total workers in the factory now = 6x + 7 + 5x + 5 = 11x + 12 = 11(13) + 12 = 155
Hence, option d.
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