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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