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Answer :
Final answer:
The mixture weighing 155 kg contains three substances A, B and C in the ratio 1/2:1/5:1/3. The quantity of substance A is 75 kg.
Explanation:
In the given question, a mixture weighing 155 kg contains three substances A, B and C. They are in the ratio 1/2:1/5:1/3. Our task is to calculate the quantity of substance A in the mixture. To solve this problem, we first calculate the total ratio of the mixture: 1/2 + 1/5 + 1/3 = 15/30 + 6/30 + 10/30 = 31/30. On simplifying the ratio by multiplying with 30, we get 15:6:10. Now, 15/31 corresponds with the ratio of A in the mixture.
Thus, the quantity of substance A in the mixture is 15/31 x 155 = 75 kg.
No option given corresponds to the correct value for the quantity of substance A in the mixture. Thus, none of the options are correct.
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