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In a mixture of 70 kg, the ratio of sand and cement is 4 ∶ 1. How much sand should be added to the mixture so that the ratio of sand and cement in it becomes 6 ∶ 1?
  • a)
    28 kg
  • b)
    30 kg
  • c)
    32 kg
  • d)
    24 kg
  • e)
    None of the above/More than one of the above
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
In a mixture of 70 kg, the ratio of sand and cement is 4 1. How much ...
The correct answer is option (1) 28 kg.
Given:
Sand : cement = 4 : 1
Total quantity of mixture = 70 kg
Resulting mixture ratio = 6 : 1
Calculation:
Total quantity of mixture = 70 kg
Sand : cement = 4 : 1
⇒ 4 + 1 = 5 unit
⇒ 5 unit = 70 kg
⇒ 1 unit = 14 kg
Sand = 4 × 14 = 56 kg
Cement = 14 kg
Let the sand added be 'x'
⇒ 56 + x = 84
⇒ x = 28 kg
∴ The quantity of Sand added is 28 kg.
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Community Answer
In a mixture of 70 kg, the ratio of sand and cement is 4 1. How much ...
Calculation:
Given:
Initial ratio of sand to cement = 4 : 1
Final ratio of sand to cement = 6 : 1
Let the amount of sand to be added be x kg.

Initial mixture:
Sand = 4x kg
Cement = x kg

Final mixture:
Sand = 4x + x kg = 5x kg
Cement = x kg

Equation:
According to the question,
5x = 6(70 + x) [Total weight of the final mixture = initial weight (70 kg) + weight of sand added (x kg)]
5x = 420 + 6x
x = 420 - 5x
x = 420 - 350
x = 70
Therefore, the amount of sand to be added is 70 kg.

Answer:
So, the correct option is (A) 28 kg, as 70 kg of sand needs to be added to the initial mixture to achieve the desired ratio of 6 : 1.
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In a mixture of 70 kg, the ratio of sand and cement is 4 1. How much sand should be added to the mixture so that the ratio of sand and cement in it becomes 6 1?a)28 kgb)30 kgc)32 kgd)24 kge)None of the above/More than one of the aboveCorrect answer is option 'A'. Can you explain this answer?
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