If a cat is fed 3/8 pound of cat food every day, how many days will 72 pounds feed the cat?

If a cat is fed 3/8 pound of cat food every day, how many days will 72 pounds feed the cat?

• A. 160
• B. 172
• C. 180
• D. 192

Answer: (D)

To determine how many days 72 pounds of cat food will last when a cat is fed 3/8 pound per day, you need to divide the total amount of food (72 pounds) by the daily amount of food consumed (3/8 pound). First, you can express the division: \[ \text{Days} = \frac{72 \text{ pounds}}{\frac{3}{8} \text{ pounds per day}} \] When dividing by a fraction, you can multiply by its reciprocal: \[ \text{Days} = 72 \text{ pounds} \times \frac{8}{3} \] Now, we can perform the multiplication: 1. Calculate \( 72 \times 8 \): \[ 72 \times 8 = 576 \] 2. Now, divide this result by 3: \[ \frac{576}{3} = 192 \] This means the cat will be fed for 192 days with 72 pounds of cat food when it is fed 3/8 pound each day. Thus, the correct answer is 192 days, confirming that the answer is indeed D.

To determine how many days 72 pounds of cat food will last when a cat is fed 3/8 pound per day, you need to divide the total amount of food (72 pounds) by the daily amount of food consumed (3/8 pound).

First, you can express the division:

[

\text{Days} = \frac{72 \text{ pounds}}{\frac{3}{8} \text{ pounds per day}}

]

When dividing by a fraction, you can multiply by its reciprocal:

[

\text{Days} = 72 \text{ pounds} \times \frac{8}{3}

]

Now, we can perform the multiplication:

1. Calculate ( 72 \times 8 ):

[

72 \times 8 = 576

]

2. Now, divide this result by 3:

[

\frac{576}{3} = 192

]

This means the cat will be fed for 192 days with 72 pounds of cat food when it is fed 3/8 pound each day. Thus, the correct answer is 192 days, confirming that the answer is indeed D.