1. A picnic is being planned in a school for Class VIII. Girls are $$ 60 \% $$ of the total number of students and are 18 in number. The picnic site is 55 km from the school and the transport company is charging at the rate of $$ ₹ 12 $$ per km. The total cost of refreshments will be $$ ₹ 4280 $$ Can you tell. 1. The ratio of the number of girls to the number of boys in the class? 2. The cost per head if two teachers are also going with the class? 3. If their first stop is at a place 22 km from the school, what per cent of the total distance of 55 km is this? What per cent of the distance is left to be covered?

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Sure, let's tackle each part of the problem step by step.

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### **1. Ratio of the Number of Girls to Boys in the Class**

**Given:**
- Girls constitute **60%** of the total number of students.
- Number of girls $$ = 18 $$.

**Let's Find:**
- Total number of students.
- Number of boys.
- The ratio of girls to boys.

**Calculations:**

1. **Total Number of Students ($$ T $$)**

$$
   60\% \text{ of } T = 18 \
   \Rightarrow T = \frac{18 \times 100}{60} = 30
   $$

2. **Number of Boys ($$ B $$)**

$$
   B = T - \text{Number of Girls} = 30 - 18 = 12
   $$

3. **Ratio of Girls to Boys**

$$
   \text{Ratio} = \frac{18}{12} = \frac{3}{2} \text{ or } 3:2
   $$

**Answer:**  
The ratio of girls to boys in the class is **3 : 2**.

---

### **2. Cost Per Head if Two Teachers are Also Going with the Class**

**Given:**
- **Transport Cost:** $$ ₹12 $$ per km.
- **Total Distance:** $$ 55 $$ km.
- **Total Cost of Refreshments:** $$ ₹4280 $$.
- **Number of Students:** $$ 30 $$ (from part 1).
- **Number of Teachers:** $$ 2 $$.

**Let's Find:**
- **Total Transport Cost.**
- **Total Overall Cost.**
- **Cost Per Head.**

**Calculations:**

1. **Total Transport Cost**

$$
   \text{Transport Cost} = \text{Rate per km} \times \text{Distance} = 12 \times 55 = ₹660
   $$

2. **Total Overall Cost**

$$
   \text{Total Cost} = \text{Transport Cost} + \text{Refreshments} = 660 + 4280 = ₹4940
   $$

3. **Total Number of People Going on Picnic**

$$
   \text{Total People} = \text{Students} + \text{Teachers} = 30 + 2 = 32
   $$

4. **Cost Per Head**

$$
   \text{Cost Per Head} = \frac{\text{Total Cost}}{\text{Total People}} = \frac{4940}{32} = ₹154.375
   $$

Rounded to two decimal places: **₹154.38**

**Answer:**  
The cost per head, including two teachers, is **₹154.38**.

---

### **3. Percentage of the Total Distance Covered and Remaining**

**Given:**
- **Total Distance:** $$ 55 $$ km.
- **First Stop Distance:** $$ 22 $$ km.

**Let's Find:**
- **Percentage of Distance Covered.**
- **Percentage of Distance Remaining.**

**Calculations:**

1. **Percentage Covered**

$$
   \text{Percentage Covered} = \left( \frac{22}{55} \right) \times 100 = 40\%
   $$

2. **Percentage Remaining**

$$
   \text{Percentage Remaining} = 100\% - 40\% = 60\%
   $$

**Answer:**  
- **40%** of the total distance (**22 km**) has been covered.
- **60%** of the distance (**33 km**) remains to be covered.

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I hope this clarifies all parts of your problem!
1. **Ratio of Girls to Boys:** 3 : 2 2. **Cost Per Head:** ₹154.38 3. **Distance Covered:** 40% of 55 km (22 km) **Distance Remaining:** 60% of 55 km (33 km)

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