Question
Greg Grasshopper has a mass of 3 grams. He climbs onto a leaf with 9 other grasshoppers that each have a mass of 3 grams. Then 4 grasshoppers jump off of t leaf. What is the total mass of the grasshoppers that are still on the leaf?
Ask by Pollard Coleman. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The total mass of the grasshoppers still on the leaf is 18 grams.
Solution
Let's break down the problem step by step to find the total mass of the grasshoppers remaining on the leaf.
1. **Initial Number of Grasshoppers:**
- **Greg Grasshopper:** 1 grasshopper
- **Other Grasshoppers:** 9 grasshoppers
- **Total Initially:** \( 1 + 9 = 10 \) grasshoppers
2. **Mass of Each Grasshopper:**
- Each grasshopper has a mass of **3 grams**.
3. **Total Initial Mass on the Leaf:**
\[
10 \text{ grasshoppers} \times 3 \text{ grams/grasshopper} = 30 \text{ grams}
\]
4. **Grasshoppers that Jump Off:**
- **Number of Grasshoppers that Jump Off:** 4
5. **Number of Grasshoppers Remaining on the Leaf:**
\[
10 \text{ grasshoppers} - 4 \text{ grasshoppers} = 6 \text{ grasshoppers}
\]
6. **Total Mass of Remaining Grasshoppers:**
\[
6 \text{ grasshoppers} \times 3 \text{ grams/grasshopper} = 18 \text{ grams}
\]
**Final Answer:**
The total mass of the grasshoppers remaining on the leaf is **18 grams**.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
When Greg Grasshopper climbs onto the leaf with 9 other grasshoppers, the total mass is calculated by multiplying the number of grasshoppers by their mass. There are 10 grasshoppers in total (Greg plus 9), so that's 10 grasshoppers x 3 grams = 30 grams. After 4 grasshoppers jump off the leaf, we are left with 6 grasshoppers (10 - 4). The total mass of the remaining grasshoppers is 6 grasshoppers x 3 grams = 18 grams. Thus, the total mass of the grasshoppers still on the leaf is 18 grams. So, to sum up: 30 grams (total mass) - 12 grams (mass of 4 grasshoppers) = 18 grams remaining.
