SOLUTION: a chemist wants to mix a 60% saline solution with 20 liters of a 45% saline solution to obtain a 55% saline solution. how much of the 60% saline solution should she use?

Question 571920: a chemist wants to mix a 60% saline solution with 20 liters of a 45% saline solution to obtain a 55% saline solution. how much of the 60% saline solution should she use?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let x + the number of liters of the 60% saline solution.
The amount of salt in the solutions can be expressed by:
0.6x+0.45(20) = 0.55(x+20) Simplify.
0.6x+9 = 0.55x+11 Solve for x. Subtract 0.55x from both sides.
0.05x+9 = 11 Subtract 9 from both sides.
0.05x = 2 Divide both sides by 0.05
x = 40
The chemist should mix 40 liters of the 60% saline solution with 20 liters of 45% saline solution to obtain 60 liters of 55% saline solution.

RELATED QUESTIONS
A chemist wants to mix a 60% saline solution with 20 liters of a 45% saline solution to... (answered by checkley71)

A chemist wants to mix a 60% saline solution with 20 liters of a 45% saline solution to... (answered by checkley77)

How much water must be added to 20 ounces of a 60% saline solution to obtain a 45% saline (answered by josmiceli)

A 40% saline solution is to be mixed with a 60% saline solution to obtain 8 liters of a... (answered by ewatrrr)

I'm struggling with this word problem: A 40% saline solution is to be mixed with 60%... (answered by josgarithmetic,MathTherapy)

how many liters of a 3%saline solution must be added to an 8% saline solution to obtain... (answered by nerdybill)

How many liters of a 3% saline solution must be added to an 8% saline solution to obtain (answered by josgarithmetic)

How many liters of 3% saline solution must be added to an 8% saline solution to obtain 20 (answered by josgarithmetic)

how many liters of a 30% saline solution must be mixed with a 40% saline solution to... (answered by nerdybill)