Question

Elena is feeding her neighbor’s dogs. Each dog gets 23

cup of dog food, and she uses 313
cups of food. How many dogs does her neighbor have?

Answer 1

Elena's neighbor has 5 dogs. She feeds each dog ¾ cup of food and uses a total of 3 ¾ cups; dividing the total food by the per dog portion gives the number of dogs.

Step-by-step explanation:

The question asks to determine the number of dogs Elena is feeding if each dog gets ¾ cup of dog food and she uses a total of 3 ¾ cups of food. To find out the number of dogs, we need to divide the total amount of food by the amount given to each dog.

First, we convert the mixed number 3 ¾ to an improper fraction. 3 ¾ cups is the same as ⅔ cups. Now, we divide ⅔ cups by ¾ cup (which is the same as multiplying by the reciprocal, in this case, ⅓).

Step-by-step calculation:

1. Convert 3 ¾ to an improper fraction: 3 × 4 = 12 + 3 = 15, so it's ⅔.
2. Divide ⅔ by ¾: ⅔ × ⅓ = ⅕ which simplifies to 5.

Elena's neighbor has 5 dogs.

To find the number of dogs, we can divide the total amount of food used by the amount of food each dog gets. In this case, we divide 313 cups by 23 cups per dog. Using long division, we get 13 dogs. Therefore, Elena's neighbor has 13 dogs.