An alloy consists of metal A and metal B in the ratio 2:3. In each step, we add metals A and B to the alloy equal to 20% and 5% of weights of metal A and metal B respectively at previous step. Which step onwards will the alloy contain more than 50% metal A?
any short trick?
Answers
Answer:
I don't know please sorry
From the 4th step onwards, the alloy will contain more than 50% of metal A.
Given,
An alloy consists of metal A and metal B in the ratio of 2:3.
We added metals A and B to the alloy equal to 20% and 5% of the weights of metal A and B, respectively, at the previous step.
To Find,
From Which step onwards will the alloy contain more than 50% metal A?
Solution,
Let's solve the question,
The ratio of A and B = 2:3.
So, A will be 40%, and B will be 60%.
1st step
A = 20% of 40 = 8, B = 5% of 60 = 3
A = 48 B = 63
2nd step
A = 20% of 48 = 9.6, B = 5% of 63 = 3.15
A = 57.6 B = 66.15
3rd step
A = 20% of 57.6 = 11.40, B = 5% of 66.15 = 3.35
A = 68.40 B = 69.50
4th step
A = 20% 0f 68.40 = 13.8, B = 5 % 0f 69.50 = 3.5
A = 82.20 B = 73
So, in the 4th step, the alloy will contain more than 50% metal.
From the 4th step onwards, the alloy will contain more than 50% of metal A.
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