Question 874174

" 6 liters of 30% concentrated orange juice" means you have 6*0.30 = 2 liters of pure juice


"x liters of 100% concentrated orange" means you have x*1 = x liters of pure juice


Put together, you have 2 + x liters of pure juice.


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In total, you really have 6+x liters of the juice/water mix. You want 58% of this juice/water mix to be pure juice. So that means



58% of total = amount of pure juice


58% of (6+x) = 2 + x


0.58(6 + x) = 2 + x


0.58(6) + 0.58(x) = 2 + x


3.48 + 0.58x = 2 + x


3.48 = 2 + x - 0.58x


3.48 - 2 = x - 0.58x


1.48 = 0.42x


0.42x = 1.48


x = 1.48/0.42


x = 3.5238095


You need to add about <font color="red">3.5238095 liters</font> of 100% concentrated orange juice.