If a label calls for 8 pints of concentrate mixed with 400 gallons of water, how many gallons of water would be mixed with 6 pints of concentrate?

To determine how many gallons of water would be mixed with 6 pints of concentrate based on the information provided, we can first establish the mixing ratio from the label instruction. The label indicates that 8 pints of concentrate require 400 gallons of water.

From this, we can derive the mixing ratio of concentrate to water:

• For each pint of concentrate, the amount of water required is calculated as:

[

\text{Water per pint} = \frac{400 \text{ gallons}}{8 \text{ pints}} = 50 \text{ gallons per pint}

]

Now, if we have 6 pints of concentrate, we can find out how much water is needed by multiplying the number of pints by the amount of water required per pint:

[

\text{Water for 6 pints} = 6 \text{ pints} \times 50 \text{ gallons per pint} = 300 \text{ gallons}

]

This calculation shows that mixing 6 pints of concentrate would indeed require 300 gallons of water, confirming why the chosen answer is indeed correct.