SOLUTION: How many liters each of 25% and 60% alcohol solutions must be mixed together to make 40 liters of a 53% alcohol solution?

Question 816844: How many liters each of 25% and 60% alcohol solutions must be mixed together to make 40 liters of a 53% alcohol solution?

Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
w = weak solution volume
s = strong solution volume
---
alcohol in the mixed solution:
0.25w + 0.60s = 0.53*40
---
total volume in the mixed solution:
w + s = 40
w = 40 - s
---
0.25w + 0.60s = 0.53*40
0.25(40 - s) + 0.60s = 21.2
10 - 0.25s + 0.60s = 21.2
0.35s = 11.2
---
Answer:
s = 32 liters
w = 8 liters
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Convert fractions, decimals, and percents:
https://sooeet.com/math/fraction-decimal-percent.php
---
Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php
RELATED QUESTIONS
How many liters each of 25% and 60% alcohol solutions must be mixed together to make 40... (answered by richwmiller,TimothyLamb)

How many liters each of 35% and 60% alcohol solutions must be mixed together to make 40... (answered by ewatrrr)

How many liters of 35% alcohol and 60% alcohol must be mixed together to make 40 liters... (answered by lwsshak3)

how many liters of 35% alcohol and 60% alcohol must be mixed together to make 40 liters... (answered by stanbon)

How many liters of 70% alcohol and 40% solution must be mixed to obtain 6 liters of 60%... (answered by josgarithmetic,addingup)

how many liters of 25% alcohol solution and 15% alcohol solution must be mixed to obtain... (answered by Alan3354)

One solution contains 30% alcohol and a second solution contains 70% alcohol. How many... (answered by Alan3354)

How much of each of a 20% alcohol solution and a 45% alcohol solution must be mixed... (answered by lwsshak3)

How many liters of 60% alcohol solution and 30% alcohol solution must be mixed to obtain... (answered by josmiceli,richwmiller)