Total weight of the bag of dog food bought by John = 20 Pounds
Number of times the dog is fed in a day = 2
Weight consumed by the dog at each feeding = 3/4 Pound.
Therefore:
[tex]\begin{gathered} \text{Weight of food used per day = 2 }\times\frac{3}{4}\text{ } \\ =\frac{6}{4} \\ =\frac{3}{2}\text{ Pounds} \end{gathered}[/tex]To determine how many days the 20-pound bag will last, we have:
[tex]\begin{gathered} \frac{20\text{ Pounds}}{\frac{3}{2}\text{ Pounds per day}} \\ =20\times\frac{2}{3} \\ =\frac{40}{3} \\ =13\frac{1}{3}\text{ days} \end{gathered}[/tex]The 20-pound bag of dog food will last 13 1/3 days.