SOLUTION: How many liters of a 10% salt solution should be added to 80 liters of a 35% salt solution to obtain a mixture that is a 30% salt solution?

Algebra.Com
Question 561722: How many liters of a 10% salt solution should be added to 80 liters of a 35% salt solution to obtain a mixture that is a 30% salt solution?
Answer by TutorDelphia(193)   (Show Source): You can put this solution on YOUR website!
We want the amount of salt to be 30 per every 100 liters.
Our new solution is made up of 80 l of 35% salt plus an unknown amount of 10% salt.
If I multiply 80*.35 I have how much salt I currently have. If I add that to the amount of salt that I add which would be x*.10 (since its 10 of the liters I add) I get my new total salt.
If I divide by how many liters I have 80 + x (the amount of solution I'm adding I can set up a proportion that is salt/liter that looks like this:

80*.35 is 28

cross multiply
2800+10x=2400+30x
subtract 2400 from both sides
400+10x=30x
subtract 10x from both sides
400=20x
divide both sides by 20
20=x
RELATED QUESTIONS

Solve algebraically. How many liters of a 20% salt solution must be added to 60 liters... (answered by josmiceli)
How many liters of 20% salt solution must be added to 60 liters of 40% salt solution to... (answered by Earlsdon)
how many liters of a 30% salt solution should be mixed with a 80% salt solution to obtain (answered by Alan3354)
how many liters of a 30% salt solution should be mixed with a 80% salt solution to obtain (answered by ikleyn)
How many liters of a 7% solution of salt should be added to a 27% solution in order to... (answered by josgarithmetic)
how many liters of a 15% salt solution must be added to 2 liters of a 30% salt solution... (answered by stanbon)
how many liters of water must be added to 80 liters of a 40% salt solution to produce a... (answered by lwsshak3)
A chemist wishes to mix a 10% salt solution with a 2% salt solution to obtain 6 liters of (answered by ptaylor)
How many liters of water must be added to 8 liters of a 40% salt solution to obtain a 10% (answered by josmiceli)