Question

Your mother bought a three-liter bottle of water. When she got home, she discovered a small leak in the bottom and asked you to find a container to transfer the water into. All you could find were two half-gallon jugs. Will your containers hold all of the water

Answer 1

No it will not because if you put the two half gallons together, one gallon is equal to 3.785411784 liters

Answer 2

The two half-gallon jugs will hold all of the water.

Explanation:

The gallon and the liter are two units of volume. Let's write the equivalent expression between them :

`1gal=3.78541L`

To solve this problem, we need to find out which volume is greater : The volume of the three-liter bottle or the volume of the two half-gallon jugs.

The volume of two half-gallon jugs is equal to :

`Volume=(2).((1)/(2))gal=1gal`

Two half-gallon jugs can storage 1 gallon in total.

1 gal is equal to 3.78541 L (We write this at the beginning of the answer). Now, given that the volume of water stored by the three-liter bottle is 3 L or less (because of the small leak) :

`3.78541L>3L`

Therefore, the volume of the two containers is greater than the maximum volume of water stored in the three-liter bottle ⇒ The containers will hold all of the water.