52.7k views
10 votes
Four bags of dry dog food plus 9.5 pounds of dry cat food weigh pounds in all. How many pounds does each bag of dog food weigh?

1 Answer

7 votes

Answer:

Each bag of dog food weighs 2 pounds

Explanation:

Here is the complete question:

Four bags of dry dog food plus 9.5 pounds of dry cat food weigh 17.5 pounds in all. How many pounds does each bag of dog food weigh?

Explanation:

From the question,

Four bags of dry dog food plus 9.5 pounds of dry cat food weigh 17.5 pounds in all.

Let the weight of one bag of dry dog food be x.

Then we can write that

4x + 9.5 pounds = 17.5 pounds

To determine x, subtract 9.5 pounds from both sides

4x + 9.5 pounds - 9.5 pounds = 17.5 pounds - 9.5 pounds

4x + 0 = 8 pounds

4x = 8 pounds

Divide both sides by 4

4x/4 = 8 pounds/4

x = 2 pounds

∴ The weight of one bag of dry dog food is 2 pounds.

Hence, each bag of dog food weighs 2 pounds.

User Abhishek Maurya
by
5.2k points