High School

One-half gallon is equivalent to 4 pints. How many gallons are the equivalent of 72 pints?

A. 64 gal
B. 9 gal
C. 80 gal
D. 576 gal

Answer :

To convert 72 pints into gallons, knowing that one gallon equals 8 pints, you divide 72 by 8, resulting in 9 gallons.The correct answer is B.

To determine how many gallons are equivalent to 72 pints, we use the fact that one half-gallon is equivalent to 4 pints. Since there are 2 half-gallons in a gallon, this means that 1 gallon equals 8 pints. To find the conversion, we can set up a ratio and solve for the number of gallons:

1 gallon / 8 pints = X gallons / 72 pints

We cross multiply and divide to solve for X:

8pints * X = 1gallon * 72pints

X = 72 / 8

X = 9

Therefore, 72 pints is equivalent to 9 gallons.

Final answer:

By converting pints to gallons using the fact that 4 pints equal one-half gallon, we find that 72 pints are equivalent to B) 9 gallons.

Explanation:

To find out how many gallons are equivalent to 72 pints, we need to use unit conversion. Knowing that one-half gallon is equivalent to 4 pints, we can set up a proportion or simply divide the total number of pints by the number of pints in a half-gallon to find the answer:

  1. Find out how many half-gallons are in 72 pints by dividing 72 pints by 4 pints per half-gallon:
  2. 72 pints ÷ 4 pints/half-gallon = 18 half-gallons.
  3. Since we want the number of whole gallons, and there are 2 half-gallons in a whole gallon, we divide the number of half-gallons by 2:
  4. 18 half-gallons ÷ 2 half-gallons/gallon = 9 gallons.

Therefore, 72 pints are equivalent to 9 gallons.