If a 3% foam mix combines with 3 gallons of foam, how much water is used?

To determine the amount of water used when creating a 3% foam mix from 3 gallons of foam, it is essential to understand what a 3% foam solution entails. A 3% foam mix means that 3% of the total solution is foam concentrate, and the remaining 97% is water.

If you have 3 gallons of foam concentrate, it constitutes 3% of the total mix. To find the total volume of the foam solution, you set up the equation where the foam concentrate (3 gallons) represents 3% of the total volume (let's call this V).

Using the formula:

[

0.03V = 3 \text{ gallons}

]

To solve for V, you divide both sides by 0.03:

[

V = \frac{3}{0.03} = 100 \text{ gallons}

]

Now, the total volume of the solution is 100 gallons. Since foam makes up 3 gallons, the remaining volume, which is water, can be calculated as follows:

[

100 \text{ gallons (total)} - 3 \text{ gallons (foam)} = 97 \text{ gallons (water)}

]

The answer