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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?

User Zermat
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2 Answers

6 votes
3 4/5 pounds left.
10 2/5 + 10 4/5 = 21 1/5.
25 - 21 1/5 = 3 4/5.
User Tgmerritt
by
7.4k points
3 votes

Answer:


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.

User Nector
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