Question
It takes an ant farm 3 days to consume \( \frac{1}{2} \) of an apple. At that rate, how many days will the ant farm consume 3 apples?
Ask by Ross Hart. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
It will take 18 days for the ant farm to consume 3 apples.
Solution
To determine how many days it will take for the ant farm to consume 3 apples, let's analyze the given information step by step.
1. **Given Rate:**
- The ant farm consumes \( \frac{1}{2} \) of an apple in 3 days.
2. **Calculate the Consumption Rate:**
- Consumption rate \( = \frac{\text{Amount of apple consumed}}{\text{Time taken}} = \frac{1/2 \text{ apple}}{3 \text{ days}} = \frac{1}{6} \text{ apple per day} \).
3. **Determine Time to Consume 3 Apples:**
- To find out how many days it takes to consume 3 apples, use the formula:
\[
\text{Time} = \frac{\text{Total apples}}{\text{Consumption rate}} = \frac{3 \text{ apples}}{1/6 \text{ apple/day}} = 3 \times 6 = 18 \text{ days}
\]
**Therefore, it will take the ant farm 18 days to consume 3 apples.**
Answer: 18
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
At the rate of 3 days for \( \frac{1}{2} \) of an apple, you can scale this up. To consume 1 full apple, it would take 3 days multiplied by 2, which equals 6 days. Now for 3 apples, we simply multiply that by 3, resulting in 6 days multiplied by 3, which totals 18 days. Therefore, the ant farm will consume 3 apples in 18 days. So, the answer is 18 days.
