Question

Two mixtures have the same percentage of an acid solution. The first mixture has 6 fluid ounces of solution with x fluid ounces of water. The second mixture has 3x fluid ounces of solution with 68 fluid ounces of water.

Part A: Which equation will help find the correct value of x?
a) 6 / x = 68 / 3x
b) (6 + x) / x = (68 + 3x) / 3x
c) 6 / (6 + x) = 3x / (68 + 3x)
d) 6 / (6 + x) = (68 + 3x) / 3x

Answer 1

The correct equation to find the value of x in this case is option d) 6 / (6 + x) = (68 + 3x) / 3x.

Step-by-step explanation:

The correct equation to find the value of x in this case is option d) 6 / (6 + x) = (68 + 3x) / 3x.

Let's analyze the information given:

In the first mixture, there are 6 fluid ounces of solution with x fluid ounces of water. So, the concentration of acid in this mixture is 6 / (6 + x).

In the second mixture, there are 3x fluid ounces of solution with 68 fluid ounces of water. So, the concentration of acid in this mixture is (68 + 3x) / 3x.

Since the two mixtures have the same percentage of acid solution, the concentrations of acid in both mixtures must be equal. Therefore, we can set up the equation: 6 / (6 + x) = (68 + 3x) / 3x.