# Math Help - homework due tomorrow.

1. ## homework due tomorrow.

Solution A is 30% alcohol and solution B is 60% alcohol. How much of each is needed to make 80 liters of a solution that is 45% alcohol?

please help.

2. Originally Posted by heather_meaghan
Solution A is 30% alcohol and solution B is 60% alcohol. How much of each is needed to make 80 liters of a solution that is 45% alcohol?

please help.
Call the amount of each solution needed $x$ and $y$ (measured in liters). We know that if we combine these two amounts, we should get a total of 80 liters, so

$x + y = 80$.

We also know that we want our final solution to be 45% alcohol, so

$0.30x + 0.60y = 0.45\cdot80$.

Solve for $x$ and $y$.

3. thank you very much.