Question

Devon purchased one bag of dog food and three bags of cat food. Each bag of dog food weighs x pounds and each bag of cat food weighs half as much as the bag of dog food. The total weight of Devon's purchase is 32.5 pounds. The equation x+3(x/2)=32.5 can be used to determine the weight of the dog food and cat food. What is the weight in pounds of one bag of cat food?

Answer 1

A pound of cat food will weigh 6.5 pounds

Explanation:

Firstly, we need to get the value of x. Thus, let’s solve the equation at hand;

x + 3x/2 = 32.5

x + 1.5x = 32.5

2.5x = 32.5

x = 32.5/2.5

x = 13

Now from the question, we are made to know that a pound of cat food measures half of what a pound of dog food measures

Since we calculate a pound of dog food to weigh 13 pounds, a pound of cat food will weigh = 13/2 = 6.5 pounds