Final answer:
To calculate how many days 42 cups of dog food will last at a rate of 2 and 1/3 cups per day, divide the total amount of food by the daily intake. The dog food will last for 18 days.
Step-by-step explanation:
The question asks how many days 42 cups of dog food will last if a dog eats 2 and 1/3 cups a day. To find the answer, we divide the total amount of dog food by the daily consumption. First, we convert 2 and 1/3 cups to an improper fraction, which is 7/3 cups. Then, we divide 42 cups by 7/3 cups/day to find the number of days the dog food will last.
Here is the step-by-step calculation:
-
- Convert 2 and 1/3 cups to an improper fraction: 2 and 1/3 = (2 × 3) + 1 = 6 + 1 = 7/3 cups.
-
- Divide 42 cups by 7/3 cups/day: 42 ÷ (7/3) = 42 ÷ 7/3 = 42 × 3/7 = 18 days.
The dog food will last for 18 days.