Question
Sarah was helping her mother repot some plants. She estimated how many bags of potting soil they would need. They used 4 bags of soil, but Sarah had estimated they would use \( 25 \% \) more than that. How many bags of soil did Sarah estimate they would need? Submit
Ask by Peterson Hammond. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Sarah estimated they would need 5 bags of soil.
Solution
To find out how many bags of soil Sarah estimated they would need, we can follow these steps:
1. **Identify the known values:**
- Actual bags of soil used: \( 4 \)
- Sarah's estimation was \( 25\% \) more than the actual amount used.
2. **Calculate \( 25\% \) of the actual amount used:**
\[
25\% \text{ of } 4 = 0.25 \times 4
\]
3. **Add this value to the actual amount used to find Sarah's estimate:**
\[
\text{Estimated bags} = 4 + (0.25 \times 4)
\]
Now, let's perform the calculations step by step.
First, calculate \( 0.25 \times 4 \):
\[
0.25 \times 4 = 1
\]
Now, add this to the actual amount used:
\[
\text{Estimated bags} = 4 + 1 = 5
\]
Thus, Sarah estimated they would need \( 5 \) bags of soil.
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Bonus Knowledge
Sarah estimated that they would need \( 25\% \) more than the 4 bags of soil they actually used. To calculate this, first find \( 25\% \) of 4 bags, which is \( 0.25 \times 4 = 1 \) bag. Adding this to the original 4 bags gives Sarah's estimate: \( 4 + 1 = 5 \) bags of soil. Thus, Sarah estimated they would need 5 bags of potting soil. That’s some impressive math, Sarah! Next time, you might want to consider factors like pot size or plant type when estimating to get even closer to the right amount. Happy planting!