Question
Nai's dog eats \( 1 \frac{1}{5} \) cups of dog food per day. If Nai has 12 cups of dog food left, how many days can Nai feed his dog before having to buy more? A 10 days C days 5 days D 2 days
Ask by Mckenzie Davison. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Nai can feed his dog for 10 days before needing to buy more food.
Solution
To determine how many days Nai can feed his dog with the remaining dog food, follow these steps:
1. **Convert Mixed Number to Improper Fraction:**
- The dog eats \( 1 \frac{1}{5} \) cups per day.
- Convert \( 1 \frac{1}{5} \) to an improper fraction:
\[
1 \frac{1}{5} = \frac{6}{5} \text{ cups per day}
\]
2. **Calculate Total Days:**
- Nai has 12 cups of dog food.
- Divide the total cups by the daily consumption:
\[
\text{Number of Days} = \frac{12}{\frac{6}{5}} = 12 \times \frac{5}{6} = 10 \text{ days}
\]
**Answer:**
**A) 10 days**
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Bonus Knowledge
To find out how many days Nai can feed his dog, we first convert \( 1 \frac{1}{5} \) cups into an improper fraction. This is equal to \( \frac{6}{5} \) cups of dog food per day. Now, we take the total amount of dog food left, which is 12 cups, and divide it by the amount the dog eats per day: \[ \frac{12 \text{ cups}}{\frac{6}{5} \text{ cups/day}} = 12 \times \frac{5}{6} = 10 \text{ days} \] So, Nai can feed his dog for 10 days before needing to buy more food. It looks like the correct answer is **A 10 days.**