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In an amalgam, mercury and silver are in the ratio of 3 ∶ 7. In the second amalgam, the ratio of same elements is 1 ∶ 9. If equal quantities of these two amalgam are mixed to form a new amalgam, then what will be the ratio of both of these elements in the new amalgam?
  • a)
    1 ∶ 4
  • b)
    7 ∶ 81
  • c)
    4 ∶ 15
  • d)
    2 ∶ 7
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In an amalgam, mercury and silver are in the ratio of 3 ∶ 7. In ...
Let the quantity of amalgams mixed be ‘x’ units
Quantity of mercury in first amalgam = (3/10)x
Quantity of mercury in second amalgam = (1/10)x
Quantity of mercury in new amlagam = 3x/10 + x/10 = 4x/10 = 2x/5
Similarly,
Quantity of silver in first amalgam = (7/10)x
Quantity of silver in second amalgam = (9/10)x
Quantity of silver in new amlagam = 7x/10 + 9x/10 = 16x/10 = 8x/5
∴ Ratio of new amalgam = (2x/5) ∶ (8x/5) = 1 ∶ 4
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Most Upvoted Answer
In an amalgam, mercury and silver are in the ratio of 3 ∶ 7. In ...
To solve this problem, we can assume a quantity of the first amalgam and the second amalgam. Let's assume that we have 3 units of the first amalgam and 7 units of the second amalgam.

Let's calculate the amount of mercury and silver in each amalgam:

First Amalgam:
- Mercury: 3 units * (3/10) = 9/10 units
- Silver: 3 units * (7/10) = 21/10 units

Second Amalgam:
- Mercury: 7 units * (1/10) = 7/10 units
- Silver: 7 units * (9/10) = 63/10 units

Now, let's mix these two amalgams in equal quantities:

Mixed Amalgam:
- Mercury: (9/10 units + 7/10 units) / 2 = 16/20 units = 4/5 units
- Silver: (21/10 units + 63/10 units) / 2 = 84/20 units = 21/5 units

Therefore, the ratio of mercury to silver in the new amalgam is 4/5 : 21/5, which simplifies to 4 : 21. So, the correct answer is option A) 1 : 4.
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In an amalgam, mercury and silver are in the ratio of 3 ∶ 7. In the second amalgam, the ratio of same elements is 1 ∶ 9. If equal quantities of these two amalgam are mixed to form a new amalgam, then what will be the ratio of both of these elements in the new amalgam?a)1 ∶ 4b)7 ∶ 81c)4 ∶ 15d)2 ∶ 7Correct answer is option 'A'. Can you explain this answer?
Question Description
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