Concentration of three wines a, b and c are 10%, 20% and 30% respectively. they are mixed in the ratio of 2:3:x resulting in a 23% concentration of solution. then find the value of x
Answers
20x3=60
30x(x)=30x
2+3+x=5+x
(20+60+30x)/(5+x)=23
x=5
Value of x = 5
Step-by-step explanation:
Concentration of three wines a, b and c are 10%, 20% and 30% respectively. they are mixed in the ratio of 2:3:x
Let say wines a , b & c are mixed in
20k , 30k & 10kx
Total mixture = 20k + 30k + 10kx = 10k(5 + x)
Wines are
a = (10/100)20k = 2k
b = (20/100)30k = 6k
c = (30/100)10kx = 3kx
Total wine = 2k + 6k + 3k x = k(8 + 3x)
resulting in a 23% concentration of solution
=> 100 * k(8 + 3x) / 10k(5 + x) = 23
=> 10(8 + 3x) = 23(5 + x)
=> 80 + 30x = 115 + 23x
=> 7x = 35
=> x = 5
Value of x = 5
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