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

To determine how many gallons would be mixed with 6 pints of concentrate, we first need to understand the ratio established by the label. The label specifies that 8 pints of concentrate is mixed with 400 gallons of water.

To find the relationship between the amount of concentrate and water, we can set up a proportion. For every 8 pints of concentrate, there are 400 gallons of water. Therefore, the mixing ratio can be expressed as follows:

• For 8 pints, there are 400 gallons.

• To find the amount of water for 6 pints, we can set up the equation:

(6 pints) / (8 pints) = (x gallons) / (400 gallons)

Next, we solve for x, which represents the number of gallons corresponding to 6 pints of concentrate. By cross-multiplying, we can calculate:

6 pints × 400 gallons = 8 pints × x gallons

2400 = 8x

x = 2400 / 8

x = 300 gallons

Thus, 6 pints of concentrate would require mixing with 300 gallons of water. This shows that the answer is correct, as it rightly reflects the