Two metals A and B are to be used for making two different alloys. There are only 506 kg of A and 322 kg of B. If the ratio by weight of A to B in the first alloy is 5 : 3 and that in the second is 4 : 7, find what weight of each alloy must be produced so that no metal will be left over.
Two metals A and B are to be used for making two different alloys. There are only 506 kg of A and 322 kg of B. If the ratio by weight of A to B in the first alloy is 5 : 3 and that in the second is 4 : 7, find what weight of each alloy must be produced so that no metal will be left over.
Option 1 -
Alloy I = 784, Alloy II = 44
Option 2 -
Alloy I = 824, Alloy II = 68
Option 3 -
Alloy I = 774, Alloy II = 82
Option 4 -
Alloy I = 796, Alloy II = 40
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1 Answer
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Correct Option - 4
Detailed Solution:A
B
I
5x
3x
II
4y
7y
5x + 4y = 253 …. (1)
3x + 7y = 161 …. (2)
On solving equations (1) & (2), we get
x = 49 and y = 2.
Hence, type I Alloy = 392 kg, and Type II Alloy = 22 kg
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