Mixing Saline Solutions for Desired Concentration

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To determine the amount of 2.3% saline solution needed to mix with a 9.6% saline solution for a final volume of 2.6 liters at 5%, the equations x + y = 2.6 and 0.023x + 0.096y = 0.05(2.6) are used. The first equation represents the total volume, while the second represents the concentration balance. Solving these equations simultaneously will yield the required amounts of each solution. The discussion highlights the importance of setting up the correct equations to solve the problem effectively. This approach ensures a precise mixture to achieve the desired saline concentration.
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SOLVED *Help with Amount = RateTotal* SOLVED

SOLVED

Homework Statement



A pharmacist is mixing an 2.3% saline solution and an 9.6% saline solution to get 2.6 litres of a 5% solution. How much of the 2.3% solution is needed?



Homework Equations


Amount = Rate x Total


The Attempt at a Solution



I have no idea how to set this up.

Would I do something like .023x + .096y = .05(2.6) then solve for x and y?



I am not sure where to go with this. Any help with be greatly appreciated.
 
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Yes, together with the equation x+ y= 2.6.
 

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