$$ \checkmark 7 $$. An elevator can hold a totalof no more than Editing 7. An elevator can hold a total of no more than 680 kg if the average weight of people is 70 kg and if people carry 75 kg of equipment, how many people will this lift carry? can i install with this device? 8. A crowd of students on a school hall stage the stage was broken. This platform can carry up to 5040 kg and the average student weight is 58 kg how many students should be on this stage? 9. Happy and Growth to celebrate their wedding ceremony at the Hotel ceremony discussed with each other how this should be conducted. 4ccording to their agreement 29.800 garshi for up to 100 guests and or guests other than this, the charge is Qarshii 320 per person s calculated. Overall Happiness and Growth for this system they allocate a budget of Rs 35,000 , how many guests ill attend the ceremony? an I participate? 0 Senior Student Rs 3450 at $$ 7 \% $$ interest rate for years anked for five. How much money will Olan have in five ears ill it have?

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Sure, let's tackle each of your questions step by step.

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### **Problem 7**

**Statement:**
An elevator can hold a total of no more than **680 kg**. If the average weight of a person is **70 kg** and each person carries **75 kg** of equipment, how many people can this elevator carry?

**Solution:**
1. **Calculate the total weight per person:**
   - Weight of one person: 70 kg
   - Equipment per person: 75 kg
   - **Total per person:** 70 kg + 75 kg = **145 kg**

2. **Determine the maximum number of people:**
   - Total elevator capacity: 680 kg
   - Number of people = Total capacity / Weight per person
   - **Number of people = 680 kg / 145 kg ≈ 4.689**

3. **Since you can't have a fraction of a person, round down:**
   - **Maximum number of people:** **4**

**Answer:** The elevator can carry a maximum of **4 people**.

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### **Problem 8**

**Statement:**
A platform on a school hall stage can carry up to **5040 kg**. If the average student weighs **58 kg**, how many students should be on the stage to avoid overloading it?

**Solution:**
1. **Calculate the number of students:**
   - Total platform capacity: 5040 kg
   - Average weight per student: 58 kg
   - **Number of students = 5040 kg / 58 kg ≈ 86.55**

2. **Since you can't have a fraction of a student, round down:**
   - **Maximum number of students:** **86**

**Answer:** A maximum of **86 students** should be on the stage.

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### **Problem 9**

**Statement:**
Happy and Growth are planning their wedding ceremony at a hotel. The hotel charges **29,800 QR** for up to **100 guests**. For each additional guest beyond 100, there's an extra charge of **320 QR** per person. They have allocated a budget of **35,000 QR**. How many guests can attend the ceremony within this budget?

**Solution:**
1. **Determine the budget left for additional guests beyond 100:**
   - Total budget: 35,000 QR
   - Cost for 100 guests: 29,800 QR
   - **Remaining budget = 35,000 QR - 29,800 QR = 5,200 QR**

2. **Calculate the number of additional guests that can be accommodated:**
   - Extra charge per additional guest: 320 QR
   - **Number of additional guests = 5,200 QR / 320 QR ≈ 16.25**

3. **Since you can't have a fraction of a guest, round down:**
   - **Additional guests:** **16**

4. **Total number of guests:**
   - **Total guests = 100 + 16 = 116**

**Answer:** Up to **116 guests** can attend the ceremony within the 35,000 QR budget.

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### **Problem 10**

**Statement:**
A senior student borrows **3,450 QR** at a **7%** annual interest rate for five years. How much money will the student have to repay after five years?

**Solution:**
There are two common types of interest calculations: **Simple Interest** and **Compound Interest**. Let's calculate both.

1. **Simple Interest (SI):**
   - **Formula:** SI = P × r × t
   - **Where:**
     - P = Principal amount = 3,450 QR
     - r = Annual interest rate = 7% = 0.07
     - t = Time in years = 5
   - **Calculation:**
     - SI = 3,450 × 0.07 × 5 = 3,450 × 0.35 = **1,207.50 QR**
   - **Total amount to repay:** P + SI = 3,450 + 1,207.50 = **4,657.50 QR**

2. **Compound Interest (CI) compounded annually:**
   - **Formula:** CI = P × (1 + r)^t
   - **Where:**
     - P = 3,450 QR
     - r = 0.07
     - t = 5
   - **Calculation:**
     - CI = 3,450 × (1 + 0.07)^5 ≈ 3,450 × 1.402551 ≈ **4,836.94 QR**

**Answer:**
- **With Simple Interest:** The student will owe **4,657.50 QR** after five years.
- **With Compound Interest:** The student will owe approximately **4,836.94 QR** after five years.

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If you have any further questions or need additional clarification on any of these problems, feel free to ask!
**Simplified Answers:** 1. **Problem 7:** The elevator can carry a maximum of **4 people**. 2. **Problem 8:** A maximum of **86 students** should be on the stage. 3. **Problem 9:** Up to **116 guests** can attend the ceremony within the 35,000 QR budget. 4. **Problem 10:** - **Simple Interest:** The student will owe **4,657.50 QR** after five years. - **Compound Interest:** The student will owe approximately **4,836.94 QR** after five years. If you have more questions or need further assistance, feel free to ask!

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