Question

Emilio's dog eats 3/2 cups of food in one serving. Emilio has a bag with 6 1/2 cups of food. He wants to know how many servings of food are in the bag.

a) 3 servings
b) 4 servings
c) 5 servings
d) 6 servings

Answer 1

To determine the number of servings, divide the total amount of food (6 1/2 cups) by the amount per serving (3/2 cups). This gives us 13/3 or about 4.33, which means Emilio can provide (option B) 4 full servings to his dog.

Step-by-step explanation:

Emilio has 6 1/2 cups of dog food, and his dog eats 3/2 cups per serving. To find out how many servings are in the bag, we divide the total amount of food by the amount per serving:

1. Convert 6 1/2 to an improper fraction: 6 1/2 = 13/2.
2. Divide 13/2 by 3/2 to find the number of servings.
3. 13/2 ÷ 3/2 = 13/2 × 2/3 (Since dividing by a fraction is the same as multiplying by its reciprocal).
4. The result is 13/3, which simplifies to approximately 4.33.
5. Since Emilio can't serve a partial portion of dog food, he would be able to serve 4 full servings of food to his dog from the bag.

Therefore, the correct answer is (b) 4 servings.

Answer 2

By converting the mixed number to an improper fraction and dividing by the serving size, we find that Emilio can get 4 full servings of dog food from a 6 1/2 cup bag.

Step-by-step explanation:

Emilio wants to determine how many servings of dog food are in a 6 1/2 cup bag if one serving is 3/2 cups. To find out, we divide the total amount of dog food by the amount per serving.

First, it's easier to work with improper fractions, so convert 6 1/2 to an improper fraction. This is done by multiplying the whole number by the denominator of the fraction and adding the numerator: (6 × 2) + 1 = 13, so 6 1/2 cups = 13/2 cups.

Next, divide the total amount of food in the bag by the amount used per serving:

№13/2 ÷ 3/2 = (13/2) × (2/3) = 13/3 = 4 1/3

This means Emilio can get 4 full servings out of the bag, with a little left over. Therefore, the correct answer is (b) 4 servings.