# SOLUTION: A 40% dye solution is to be mixed with a dye solution to get 120 liters of a 50% solution. How many liters of the 40% and 70% solutions will be needed?

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 Click here to see ALL problems on Mixture Word Problems Question 323455: A 40% dye solution is to be mixed with a dye solution to get 120 liters of a 50% solution. How many liters of the 40% and 70% solutions will be needed?Answer by josmiceli(9678)   (Show Source): You can put this solution on YOUR website!In words: (final liters of dye)/(final liters of solution) = 50% Let = liters of 40% solution needed Let = liters of 70% solution needed given: (1) liters of dye in = liters of dye in = liters of dye in final solution = (2) Multiply both sides of (1) by Multiply both sides of (2) by Subtract (1) from (2) (2) (1) and, since 80 liters of 40% solution and 40 liters of 70% solution are needed check: (2) (2) OK