Mixing Saline Solutions for Desired Concentration

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SUMMARY

A pharmacist is tasked with mixing a 2.3% saline solution and a 9.6% saline solution to create 2.6 liters of a 5% saline solution. The equations used to solve this problem are Amount = Rate x Total, leading to the system of equations 0.023x + 0.096y = 0.05(2.6) and x + y = 2.6. By solving these equations, the required amounts of each solution can be determined definitively.

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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.
 
Last edited:
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Yes, together with the equation x+ y= 2.6.
 

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