Question

one customer purchases 8 bags of cat food. the total weight of ut is 44 pounds. another customer purchases 5 bags of cat food and 2 bags of dog food. the total weight of the purchase is 35 pounds​

Answer 1

Each bag of dog foos weighs 2.5 pounds.

Explanation:

The question must be

What's the total weight of a bag of dog food?

So, we know that the first purchase was 8 bags of cat food and weighed 44 pounds.

Then, the second purchase was 5 bags of cat food and 2 bags of dog food, which weighed 35 pounds.

We can use the first purchase to find the weight of one bag of cat food

`c=(44)/(8)= 5.5 lb`

So, the second expression can be written as

`5c + 3d =35`

Where
`c` represents cat's food and
`d` represents dog's food

Replacing
`c=5.5` we have

`5(5.5) + 3d =35\\3d=35-27.5\\d=(7.5)/(3)\\ d=2.5`

Therefore, each bag of dog foos weighs 2.5 pounds.