# SOLUTION: A chemist needs 10 liters of a 50% salt solution. All she has available is a 20% salt solution and a 70% salt solution. How much of each of the two solutions should she mix to ob

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 Click here to see ALL problems on Mixture Word Problems Question 21619: A chemist needs 10 liters of a 50% salt solution. All she has available is a 20% salt solution and a 70% salt solution. How much of each of the two solutions should she mix to obtain her desired solution?Answer by venugopalramana(3286)   (Show Source): You can put this solution on YOUR website!A chemist needs 10 liters of a 50% salt solution. All she has available is a 20% salt solution and a 70% salt solution. How much of each of the two solutions should she mix to obtain her desired solution? LET X LITRES OF 20% SOLUTION BE REQUIRED...SINCE TOTAL IS 10 LITRES ,WE HAVE TO ADD 10-X LITRES OF 70% SOLUTION..SO TAKING A SALT BALANCE SALT IN X LITRES OF 20 % SOLUTION......=X*20/100=0.2X SALT IN 10-X LITRES OF 10 % SOLUTION.. =(10-X)*70/100=7-0.7X SALT IN 10 LITRES OF FINAL 50 % SOLUTION =10*50/100=5 HENCE 0.2X+7-0.7X=5 0.7X-0.2X=7-5=2 0.5X=2 X=2/0.5=20/5=4 LITRES OF 20 % SWOLUTION AND 10-4=6 LITRES OF 70% ARE NEEDED TO BE MIXED TO GET 10 LITRES OF 50% SOLUTION