SOLUTION: How many liters of water containing 5 grams of salt per liter must be combined with x liters of water which contains y grams [y is less than 2] of salt per liter to yield a solutio

Question 271245: How many liters of water containing 5 grams of salt per liter must be combined with x liters of water which contains y grams [y is less than 2] of salt per liter to yield a solution with 2 grams of salt per liter.
Equation in x and y=?
Answer by CharlesG2(834) (Show Source): You can put this solution on YOUR website!
How many liters of water containing 5 grams of salt per liter must be combined with x liters of water which contains y grams [y is less than 2] of salt per liter to yield a solution with 2 grams of salt per liter.
Equation in x and y=?
let L = number of liters of 5 g/L solution
5L + yx = 2(L+x)
5L + yx = 2L + 2x
3L + yx = 2x
3L = 2x - yx = x(2-y)
3L / (2-y) = x (this is x)
L = x(2-y) / 3 (this is L)
yx = 2x - 3L
y = (2x - 3L)/x (this is y)
L max when y=0 --> L = x(2-0) / 3 = 2x / 3
L min when y=2 --> L = x(2-2) / 3 = 0
0 < L < (2x)/3

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