# SOLUTION: Please can you help me with the equation to solve the following word problem: A Chemist is making a new cleaning product by mixing 2 solutions. How many litres of a 35% solution s

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 Question 395132: Please can you help me with the equation to solve the following word problem: A Chemist is making a new cleaning product by mixing 2 solutions. How many litres of a 35% solution should be added to the 15% solution to obtain 8 litres of a cleaning solution with 20% concentration? Thanking you in advance for your assistance.Answer by Earlsdon(6291)   (Show Source): You can put this solution on YOUR website!Let x = the required number litres of the 35% solution then (8-x) will be the required number of litres of the 15% solution. Note that x + (8-x) = 8, so, after converting the percentages to their decimal equivalents, we have... 0.35x+0.15(8-x) = 0.2(8) Simplify and solve for x. 0.35x+1.2-0.15x = 1.6 0.2x = 0.4 x = 2. The chemist will need to add 2 litres of the 35% solution to (8-2=6) 6 litres of the 15% solution to obtain 8 litres of 20% solution.