# SOLUTION: a worker needs to form 12 gallons of 70% ammonia solution to strip wax from some floors. He has one solution of 30% ammonia and another solution of 90% ammonia. How many gallons of

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 Question 598912: a worker needs to form 12 gallons of 70% ammonia solution to strip wax from some floors. He has one solution of 30% ammonia and another solution of 90% ammonia. How many gallons of the 90% solution should he use in the mixture?Found 2 solutions by stanbon, josmiceli:Answer by stanbon(57219)   (Show Source): You can put this solution on YOUR website!a worker needs to form 12 gallons of 70% ammonia solution to strip wax from some floors. He has one solution of 30% ammonia and another solution of 90% ammonia. How many gallons of the 90% solution should he use in the mixture? ------- Equation: ammonia + ammonia = ammonia 0.30x + 0.90(12-x) = 0.70*12 ---------- 30x + 90*12 - 90x = 70*12 -60x = -20*12 x = 4 gallons (amt. of 30% solution needed) ----- 12-x = 8 gallons (amt. of 90% solution needed) ================================================================ Cheers, Stan H. Answer by josmiceli(9649)   (Show Source): You can put this solution on YOUR website!Let = gallons of 30% mixture needed Let = gallons of 90% mixture needed given: = gallons of ammonia in 30% mixture = gallons of ammonia in 90% mixture ----------- (1) (2) ----------- (2) (2) (2) Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and, since (1) (1) (1) 8 gallons of the 90% mixture are needed check: (2) (2) (2) (2) OK