A cement mixture is composed of 3 elements. By weight, 1/3 of the mixture is sand, 3/5 is water and the remaining 12 pounds of the mixture is gravel. What is the weight of the entire mixture in pounds?
A 60
B 80
C 90
D 180
E None of these
Solution
Correct Answer: Option D
মোট মিশ্রণের পরিমাণ = x
মিশ্রণে sand এর পরিমাণ = x/3
মিশ্রণে water এর পরিমাণ = 3x/5
এখন (x/3) + (3x/5) + 12 = x
⇒ 12 = x - (x/3) - (3x/5)
⇒ 12 = (15x - 5x - 9x)/15
⇒ 12 = x/15
⇒ x = 12 × 15
∴ x = 180
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