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

To determine how many gallons of water would be mixed with 6 pints of concentrate, we start with the ratio provided in the label that specifies 8 pints of concentrate mixed with 400 gallons of water. This ratio can be expressed as:

[ \frac{8 \text{ pints}}{400 \text{ gallons}} = 1 \text{ pint} : 50 \text{ gallons} ]

This means that for every 1 pint of concentrate, 50 gallons of water should be used. Now, to find out how many gallons are needed for 6 pints of concentrate, we multiply the number of pints by the amount of water per pint:

[ 6 \text{ pints} \times 50 \text{ gallons/pint} = 300 \text{ gallons} ]

Thus, if you use 6 pints of concentrate, you would mix it with 300 gallons of water, making the answer valid and consistent with the specified mixing ratio. The chosen answer aligns with this calculated amount, confirming that 300 gallons of water is required for 6 pints of concentrate.