SOLUTION: A scientist is working with two different concentrations of HCI. One bottle is 80% HCI and the other is 50% HCI. For their experiment they need 1 liter of 70% HCI. how many liters

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: A scientist is working with two different concentrations of HCI. One bottle is 80% HCI and the other is 50% HCI. For their experiment they need 1 liter of 70% HCI. how many liters       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1125628: A scientist is working with two different concentrations of HCI. One bottle is 80% HCI and the other is 50% HCI. For their experiment they need 1 liter of 70% HCI. how many liters of the 80% solution do they need? How many liters of the 50% solution?
Answer by josgarithmetic(39626) About Me  (Show Source):
You can put this solution on YOUR website!
Not the best example. Concentrations of HCl above 40% not so practical; they don't keep well and will have some of the concentration lost quickly.



If you want the arithmetic anyway, then

x volume of 80%
1-x volume of 50%


80x%2B50%281-x%29=70%2A1
8x%2B5%281-x%29=7
8x%2B5-5x=7
3x=7-5
3x=2
highlight%28x=2%2F3%29 liters of the 80% material
highlight%281%2F3%29 liters of the 50% material