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?

Each bag of dog food weighs 2 pounds

Step-by-step 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?

Step-by-step 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.