SOLUTION: Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solution. The equation 0.10x + 0.15(50 - x) = 0.12(50)

Algebra.Com
Question 1156281: Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solution. The equation 0.10x + 0.15(50 - x) = 0.12(50) can be used to find the amount of 10% alcohol solution Bruce should use.
How much of the 10% alcohol solution should Bruce use?
mL
How much of the 15% alcohol solution should Bruce use?
mL
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
---------------------------------
..., make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solution.
---------------------------------

If want x of the 10% alcohol, then use 50-x of the 15% alcohol.

Accounting for quantities of alcohol to give the expected amount of pure alcohol: ;




, and you can finish this.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solution. The equation 0.10x + 0.15(50 - x) = 0.12(50) can be used to find the amount of 10% alcohol solution Bruce should use.
How much of the 10% alcohol solution should Bruce use?
How much of the 15% alcohol solution should Bruce use?
0.10x + 0.15(50  -  x) = 0.12(50)

The given equation indicates that the 10% solution was named x

This means that the 15% solution is 50 - x,  as named

.1x + .15(50 - x) = .12(50)

.1x + 7.5 - .15x = 6

.1x - .15x = 6 - 7.5

- .05x = - 1.5

x, or amount of 10% solution to mix = 

Now, can you find the amount of 15% solution to mix? 

RELATED QUESTIONS


how many milliliters of a 15% alcohol solution must be added to 80 mL of an 8% alcohol... (answered by stanbon)

prepare 2L of a 25% alcoho solution and a 15%... (answered by Alan3354)

12 ml of a 65% alcohol solution was mixed with 8 ml of an 80% alcohol solution. What is... (answered by Edwin McCravy,josgarithmetic,ikleyn,greenestamps)

 9L of an alcohol solution was mixed with 3L of pure water to make a 15% alcohol... (answered by addingup,greenestamps)

How many liters of a 20% alcohol solution should be added to a 10% alcohol solution to... (answered by stanbon)

John wants to make a 100 ml of 5% alcohol solution mixing a quantity of 2% alcohol... (answered by greenestamps)

Suppose 44 pints of aa 13​% alcohol solution is mixed with 66 pints of aa... (answered by ankor@dixie-net.com)

jaime has available a 10% alcohol solution and a 60% alcohol solution. Find how many... (answered by stanbon)

James Callahan has available a 10% alcohol solution and a 60% alcohol solution. Find how... (answered by Alan3354)