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Numerical Ability
Alligation or Mixture
to obtain 23 liters of a production line solution that contains 10% of chemical A , sample of a solution containing 13% of chemical A and another containing 3 % of chemical A are to be mixed. how many liters of 13% sample are required a)76.67 b)6.9 c)16.1 d)6.19 e)19.58
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- we can use alligations and mixturs concept here
13% 3%
10%
7% 3%
now total 10% contain 23lit
7%------------?
7*23/10=16.1 - 6 years agoHelpfull: Yes(7) No(0)
- let x be amount of solution containing 13% of chem A. Make a table to find the totals:
Solution Amount Decimal Total
------------------------------------------------------------
3% 23 - x .03 .03*(23-x)
13% x .13 .13 * x
10% 23 .1 .1 * 23
The total of the 3% solution plus the total of the 13% solution must equal the total of the 10% solution.
0.69-0.03x + 0.13x = 2.3
0.1x=1.61
x = 16.1 Answer C - 6 years agoHelpfull: Yes(1) No(1)
- 13 3
10
7 3
7x+3x=23
x=2.3
13% sample so,
7x=7*2.3=16.1 - 6 years agoHelpfull: Yes(1) No(0)
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