SOLUTION: confused on this word problem..need helpppp
20% alcohol solution and 70% alcohol solution available. how many liters of each must the pharmacy use to make a mixture containing 5
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Question 994279: confused on this word problem..need helpppp
20% alcohol solution and 70% alcohol solution available. how many liters of each must the pharmacy use to make a mixture containing 50 liters of 60% alcohol solution?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= liters of 20% alcohol solution to be used
= liters of 70% alcohol solution to be used
= liters of alcohol in liters of 20% alcohol solution
= liters of alcohol in liters of 70% alcohol solution
= liters of alcohol in liters of 60% alcohol solution
When you mix the two solutions you want:
a total volume of 50 liters, so , and
a total alcohol amount of 30 liters, so .
So you have to solve
.
Solving:
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The pharmacy should mix 10 liters of 20% alcohol solution and 40 liters of 70% alcohol solution.
NOTE:If you did not study systems of equations, then use instead of , first find from ;
-->-->-->
-->-->-->--> .
Then you calculate
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