If a label specifies mixing 8 pints of concentrate with 400 gallons of water, how many gallons would correlate with 6 pints of concentrate?

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To determine how many gallons would correlate with 6 pints of concentrate based on the label's specification, it's essential to understand the concentration ratio provided. The label indicates that 8 pints of concentrate are mixed with 400 gallons of water.

First, we can establish a mixing ratio: for every 8 pints of concentrate, there are 400 gallons of water. This implies that for every 1 pint of concentrate, there are 50 gallons of water (since 400 gallons divided by 8 pints equals 50 gallons per pint).

Now, if we want to find out how many gallons of water correspond to 6 pints of concentrate, we can use the ratio we just calculated. Since each pint of concentrate corresponds to 50 gallons of water:

  • For 6 pints: 6 pints × 50 gallons/pint = 300 gallons of water.

Therefore, mixing 6 pints of concentrate would correlate with 300 gallons of water, which confirms that the answer is accurate. This illustrates the importance of understanding concentration ratios when preparing mixtures for pest control applications.

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