SOLUTION: A chemist has 5% and 40% solutions of acid available. How many liters of each solution should by mixed to obtain 5 liters of a 20% acid solution? Totally lost on this one please

Algebra.Com
Question 853381: A chemist has 5% and 40% solutions of acid available. How many liters of each solution should by mixed to obtain 5 liters of a 20% acid solution?
Totally lost on this one please help

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A chemist has 5% and 40% solutions of acid available. How many liters of each solution should by mixed to obtain 5 liters of a 20% acid solution?
---------
Quantity: x + y = 5 liters
Acid:::: 0.05x + 0.40y = 0.20*5
---------
Multiply thru by 100 and substitute for "y" to get:
5x + 40(5-x) = 20*5
5x + 40*5 - 40x = 20*5
-35x = -20*5
x = (1/7)20
x = 2.86 liters of 5% solution
---
y = 5-y = 5-2.86 = 2.14 liters of 40% solution
-----------------
Cheers,
Stan H.
------------------

RELATED QUESTIONS

a chemist has 20% and 60% solutions of acid available. how many liters of each solution... (answered by Alan3354)
A chemist has 30% and 60% solutions of acid available. How many liters of each solution... (answered by josgarithmetic)
A chemist has 20% and 60% solutions of acid available. How many liters of each solution... (answered by Theo,josgarithmetic,greenestamps)
A chemist has 10% and 50% solutions of acid available. How many liters of each solution... (answered by math_tutor2020,josgarithmetic)
A chemist has 10% and 50% solutions of acid available. How many liters of each solution... (answered by solver91311)
Chemist has 20% and 50% solution of acid available. how many liters of each solution... (answered by jorel1380)
A chemist has 20% and 60% solutions of acids available. How many liters of each solution... (answered by Alan3354,josgarithmetic)
Mixture Problem A chemist has 20% and 50% solutions of acid available. How many liters... (answered by stanbon)
A chemist has 20% and 60% solution of acid available. How many liters of each solution... (answered by stanbon)