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

Answer:

Each bag of dog foos weighs 2.5 pounds.

Step-by-step 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

$c=\frac{44}{8}= 5.5 lb$

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

$5(5.5) + 3d =35\\3d=35-27.5\\d=\frac{7.5}{3}\\ d=2.5$

Therefore, each bag of dog foos weighs 2.5 pounds.