Which statement about unit conversions is correct?

Which statement about unit conversions is correct?

• A. 2 pounds per gallon equals 1 pound per quart
• B. 1 pound per gallon equals 1/2 pound per quart
• C. 4 pounds per gallon equals 1 pound per quart
• D. 2 pounds per gallon equals 1/2 pound per quart

Answer: (D)

The key idea is that there are four quarts in a gallon, so converting from pounds per gallon to pounds per quart means dividing by 4. For 2 pounds per gallon, dividing by 4 gives 0.5 pounds per quart (1/2 lb/qt), which matches the statement. The same rule also shows that 4 pounds per gallon would be 1 pound per quart, since 4 ÷ 4 = 1. The other options don’t follow the correct division by 4 (they imply dividing by 2 or by 1), so they’re not correct.

The key idea is that there are four quarts in a gallon, so converting from pounds per gallon to pounds per quart means dividing by 4. For 2 pounds per gallon, dividing by 4 gives 0.5 pounds per quart (1/2 lb/qt), which matches the statement. The same rule also shows that 4 pounds per gallon would be 1 pound per quart, since 4 ÷ 4 = 1. The other options don’t follow the correct division by 4 (they imply dividing by 2 or by 1), so they’re not correct.