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50 kg of an alloy of nickel and iron contains 60% nickel. How much nickel must be melted into it to make the alloy contain 75% of nickel?
- a)20 kg
- b)30 kg
- c)35 kg
- d)40 kg
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
50 kg of an alloy of nickel and iron contains 60% nickel. How much nic...
Quantity of nickel in 50 kg of alloy
= 60% of 50 kg = 30 kg
Let the required quantity of lead = x kg
Weight of new alloy = (30 + x ) kg
⇒ 120 + 4x = 150 + 3x
⇒ 4x – 3x = 150 – 120 ⇒
x = 30
= 60% of 50 kg = 30 kg
Let the required quantity of lead = x kg
Weight of new alloy = (30 + x ) kg
⇒ 120 + 4x = 150 + 3x
⇒ 4x – 3x = 150 – 120 ⇒
x = 30
Most Upvoted Answer
50 kg of an alloy of nickel and iron contains 60% nickel. How much nic...
To solve this problem, we need to determine how much nickel must be added to the alloy in order to achieve a 75% nickel content.
Given Information:
- The total weight of the alloy is 50 kg.
- The alloy currently contains 60% nickel.
Let's assume that x kg of nickel needs to be added to the alloy.
Understanding the Problem:
We need to find the value of x, which represents the amount of nickel to be added to the alloy. This value will ensure that the final alloy contains 75% nickel.
Plan:
1. Calculate the amount of nickel in the original alloy.
2. Calculate the amount of nickel in the final alloy.
3. Set up an equation using the information from steps 1 and 2.
4. Solve the equation to find the value of x.
Solution:
1. Calculate the amount of nickel in the original alloy.
- The original alloy contains 60% nickel, so the weight of nickel in the original alloy is given by:
(60/100) * 50 kg = 30 kg
2. Calculate the amount of nickel in the final alloy.
- The final alloy should contain 75% nickel, so the weight of nickel in the final alloy is given by:
(75/100) * (50 + x) kg
3. Set up an equation using the information from steps 1 and 2.
- The total weight of nickel in the final alloy should be equal to the sum of the nickel in the original alloy and the additional nickel added.
- So, we can set up the equation:
30 kg + x kg = (75/100) * (50 + x) kg
4. Solve the equation to find the value of x.
- Multiply both sides of the equation by 100 to get rid of the decimal:
100 * (30 + x) = 75 * (50 + x)
3000 + 100x = 3750 + 75x
100x - 75x = 3750 - 3000
25x = 750
x = 750/25
x = 30 kg
Therefore, the amount of nickel that must be melted into the alloy is 30 kg.
So, the correct answer is option B.
Given Information:
- The total weight of the alloy is 50 kg.
- The alloy currently contains 60% nickel.
Let's assume that x kg of nickel needs to be added to the alloy.
Understanding the Problem:
We need to find the value of x, which represents the amount of nickel to be added to the alloy. This value will ensure that the final alloy contains 75% nickel.
Plan:
1. Calculate the amount of nickel in the original alloy.
2. Calculate the amount of nickel in the final alloy.
3. Set up an equation using the information from steps 1 and 2.
4. Solve the equation to find the value of x.
Solution:
1. Calculate the amount of nickel in the original alloy.
- The original alloy contains 60% nickel, so the weight of nickel in the original alloy is given by:
(60/100) * 50 kg = 30 kg
2. Calculate the amount of nickel in the final alloy.
- The final alloy should contain 75% nickel, so the weight of nickel in the final alloy is given by:
(75/100) * (50 + x) kg
3. Set up an equation using the information from steps 1 and 2.
- The total weight of nickel in the final alloy should be equal to the sum of the nickel in the original alloy and the additional nickel added.
- So, we can set up the equation:
30 kg + x kg = (75/100) * (50 + x) kg
4. Solve the equation to find the value of x.
- Multiply both sides of the equation by 100 to get rid of the decimal:
100 * (30 + x) = 75 * (50 + x)
3000 + 100x = 3750 + 75x
100x - 75x = 3750 - 3000
25x = 750
x = 750/25
x = 30 kg
Therefore, the amount of nickel that must be melted into the alloy is 30 kg.
So, the correct answer is option B.
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50 kg of an alloy of nickel and iron contains 60% nickel. How much nickel must be melted into it to make the alloy contain 75% of nickel?a)20 kgb)30 kgc)35 kgd)40 kgCorrect answer is option 'B'. Can you explain this answer?
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50 kg of an alloy of nickel and iron contains 60% nickel. How much nickel must be melted into it to make the alloy contain 75% of nickel?a)20 kgb)30 kgc)35 kgd)40 kgCorrect answer is option 'B'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about 50 kg of an alloy of nickel and iron contains 60% nickel. How much nickel must be melted into it to make the alloy contain 75% of nickel?a)20 kgb)30 kgc)35 kgd)40 kgCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 50 kg of an alloy of nickel and iron contains 60% nickel. How much nickel must be melted into it to make the alloy contain 75% of nickel?a)20 kgb)30 kgc)35 kgd)40 kgCorrect answer is option 'B'. Can you explain this answer?.
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Solutions for 50 kg of an alloy of nickel and iron contains 60% nickel. How much nickel must be melted into it to make the alloy contain 75% of nickel?a)20 kgb)30 kgc)35 kgd)40 kgCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 7.
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