Question

A lab needs to make 10 gallons of 15% chemical solution by mixing a

10% solution with a 18% solution. How many gallons of each solution
are needed?

Answer 1

To make 10 gallons of a 15% chemical solution, you will need to mix a 10% solution with an 18% solution. You can set up a system of equations to find the amounts of each solution needed.

Step-by-step explanation:

To make 10 gallons of a 15% chemical solution, you will need to mix two different solutions: a 10% solution and an 18% solution. Let's say you need x gallons of the 10% solution and y gallons of the 18% solution. The total volume of the solution is 10 gallons, so we can set up the following equation:

x + y = 10

The 10% solution will contribute 0.10x gallons of the chemical, while the 18% solution will contribute 0.18y gallons of the chemical. The total amount of the chemical in the solution will be 0.15 * 10 = 1.5 gallons. Therefore, we can set up the second equation:

0.10x + 0.18y = 1.5

Now we have a system of equations that we can solve to find the values of x and y. Solving this system will give us the amounts of each solution needed to make the 10 gallons of 15% solution.