Carla and Diane have started a pet sitting company. They have a 25-pound bag of food. There are 1/3 dogs. If each dog eats a 13
of a pound, how much dog food would be left?
If 1/3 of the pets are dogs, then there are 1/3 * 25 = 8.333333333333334 pounds of dog food.
If each dog eats 1/13 of a pound, then each dog will eat 1/13 * 8.333333333333334 = <<1/13*8.333333333333334=0.641025641025641>>0.641025641025641 pounds of dog food.
Thus, there will be 8.333333333333334 - 0.641025641025641 = <<8.333333333333334-0.641025641025641=7.6923076923076915>>7.6923076923076915 pounds of dog food left. Answer: \boxed{7.6923076923076915}.
To find out how much dog food would be left, we need to calculate how much dog food would be consumed by the dogs first.
Step 1: Calculate the amount of dog food consumed by one dog.
Given that each dog eats 1/3 of a pound of food, we can calculate the amount of food consumed by one dog using the formula:
Amount of food consumed by one dog = 1/3 pound
Step 2: Calculate the number of dogs.
Given that there are 1/3 dogs, we can calculate the total number of dogs by dividing the total amount of food by the amount consumed by one dog. Using the formula:
Total number of dogs = 25 pounds / (1/3 pound)
Simplifying the above expression, we get:
Total number of dogs = 25 pounds * (3/1) = 75 dogs
Step 3: Calculate the total amount of food consumed by the dogs.
The total amount of food consumed by the dogs can be calculated by multiplying the amount consumed by one dog by the total number of dogs. Using the formula:
Total amount of food consumed by the dogs = amount of food consumed by one dog * total number of dogs
Plugging in the values, we get:
Total amount of food consumed by the dogs = (1/3 pound) * 75 dogs
Simplifying the above expression, we get:
Total amount of food consumed by the dogs = 25 pounds / (1/3 pound) = 75 pounds
Step 4: Calculate the amount of dog food left.
To find out the amount of dog food left, we need to subtract the total amount of food consumed by the dogs from the initial amount of dog food. Using the formula:
Amount of dog food left = Initial amount of dog food - total amount of food consumed by the dogs
Plugging in the values, we get:
Amount of dog food left = 25 pounds - 75 pounds
Simplifying the above expression, we get:
Amount of dog food left = -50 pounds
Based on the calculations, it seems that there is a negative amount of dog food left, which is not possible. It is likely that there is an error in the problem statement or the calculations. Please verify the given information and try again.
To find out how much dog food would be left, we need to calculate the total amount of food the dogs will eat and subtract it from the initial 25-pound bag.
First, let's determine the fraction that represents the number of dogs. You mentioned that there is 1/3 dogs, but it's unclear how many dogs there actually are. Let's assign a variable to the number of dogs.
Let's say there are "x" dogs.
As each dog eats 1/3 of a pound, the total amount of food the dogs will eat would be x * 1/3 pounds.
Now, if x dogs each eat 1/3 pounds, the total amount of food they will eat would be (x * 1/3) pounds.
To find the amount of dog food left, subtract the total amount the dogs will eat from the initial 25-pound bag:
Remaining dog food = 25 pounds - (x * 1/3) pounds.
Since we don't have the value of "x" (the number of dogs) in the question, we can't determine the exact amount of dog food that would be left without that information.
Please provide the number of dogs in order to calculate the remaining dog food.