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Q. 15. Two vessels A and B contain mixtures of spirit and water. A mixture of 3 parts from A and 2
parts from B is found to contain 29% of spirit and a mixture of 1 part from A and 9 parts from
B is found to contain 34% of spirit. Find the percentages of spirit in A and B.
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Answer:
X=25% & Y=35%
Step-by-step explanation:
Let A contain x% spirit and B contain y% spirit
Hence, (3x + 2y)/5 = 29
Hence, 3x + 2y = 145 (1)
Also, (x+9y)/10 = 34
x+9y = 340
3x+27y = 1020 (2)
Subtracting 1 from 2
25y = 875
y = 35%
x = 340-315 = 25%
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