Question

Rodney bought a 25-pound bag of dog food. His dog ate 10 2/5 pounds of the food in the first month and 10 4/5 pounds in the second month. How much dog food, in pounds, was remaining in the bag at the end of the two months?

Answer 1

3 4/5 pounds left.
10 2/5 + 10 4/5 = 21 1/5.
25 - 21 1/5 = 3 4/5.

Answer 2

`3(4)/(5)` pounds of food

Explanation:

We have been given that Rodney bought a 25-pound bag of dog food. His dog ate
`10(2)/(5)` pounds of the food in the first month and
`10(4)/(5)` pounds in the second month.

Let us find the amount of dog-food eaten by dog in two months.

`\text{Dog-food eaten in 2 months}=10(2)/(5)+10(4)/(5)`

`\text{Dog-food eaten in 2 months}=(52)/(5)+(54)/(5)`

`\text{Dog-food eaten in 2 months}=(52+54)/(5)`

`\text{Dog-food eaten in 2 months}=(106)/(5)`

Now we will subtract amount of food eaten by dog from the amount of food initially to find the remaining amount of dog food.

`\text{Remaining amount of dog-food}=25-(106)/(5)`

`\text{Remaining amount of dog-food}=(5*25)/(5)-(106)/(5)`

`\text{Remaining amount of dog-food}=(125)/(5)-(106)/(5)`

`\text{Remaining amount of dog food}=(125-106)/(5)`

`\text{Remaining amount of dog food}=(19)/(5)`

`\text{Remaining amount of dog food}=3(4)/(5)`

Therefore,
`3(4)/(5)` pounds of food was remaining in the bag at the end of the two months.