If there are 24 red and blue Smarties in a box and they are in the ratio blue: red $$ =1: 3 $$. how many red Simarties are in the box? In : packet of sweets there are 36 sweets. Two kids Johin and Anthony wants to divide the sweets in die ratio 3:4. How many sweets will each of Johan and Anthony get? A hairdressor needs to make up a 40 ml mixture of tint and hydrogen peroxide. The ratio of tine: peroxide is $$ 1: 2 $$. How many millilitres of tint and how many millilites of peroxide will the hairdresser need to use to make the 40 ml mixlure? Mom, Dad and Thabo share 138 jelly tots in the ratio $$ 1: 2: 3 $$. How many jelly lots $$ w $$ mom get?

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### **Problem 1: Red and Blue Smarties**

**Given:**
- Total Smarties = 24
- Ratio of Blue to Red Smarties = 1:3

**Solution:**
1. **Determine the Total Ratio Parts:**
   $$
   \text{Blue parts} + \text{Red parts} = 1 + 3 = 4
   $$
   
2. **Find the Value of One Part:**
   $$
   \text{Value of one part} = \frac{\text{Total Smarties}}{\text{Total ratio parts}} = \frac{24}{4} = 6
   $$
   
3. **Calculate the Number of Red Smarties:**
   $$
   \text{Red Smarties} = \text{Red parts} \times \text{Value of one part} = 3 \times 6 = 18
   $$

**Answer:**  
There are **18 red Smarties** in the box.

---

### **Problem 2: Dividing 36 Sweets Between Johan and Anthony**

**Given:**
- Total Sweets = 36
- Ratio of Johan to Anthony = 3:4

**Solution:**
1. **Determine the Total Ratio Parts:**
   $$
   3 + 4 = 7
   $$
   
2. **Find the Value of One Part:**
   $$
   \text{Value of one part} = \frac{36}{7} \approx 5.142857 \text{ sweets}
   $$
   
3. **Calculate Sweets for Each Child:**
   - **Johan:**
     $$
     3 \times 5.142857 \approx 15.43 \text{ sweets} \quad (\text{or } 15 \frac{3}{7} \text{ sweets})
     $$
     
   - **Anthony:**
     $$
     4 \times 5.142857 \approx 20.57 \text{ sweets} \quad (\text{or } 20 \frac{4}{7} \text{ sweets})
     $$

**Answer:**  
- **Johan** receives approximately **15 3⁄7 sweets**.  
- **Anthony** receives approximately **20 4⁄7 sweets**.

---

### **Problem 3: Mixing Tint and Hydrogen Peroxide**

**Given:**
- Total Mixture Volume = 40 ml
- Ratio of Tint to Hydrogen Peroxide = 1:2

**Solution:**
1. **Determine the Total Ratio Parts:**
   $$
   1 + 2 = 3
   $$
   
2. **Find the Volume of One Part:**
   $$
   \text{Volume of one part} = \frac{40 \text{ ml}}{3} \approx 13.333 \text{ ml}
   $$
   
3. **Calculate Volumes for Each Component:**
   - **Tint:**
     $$
     1 \times 13.333 \approx 13.33 \text{ ml}
     $$
     
   - **Hydrogen Peroxide:**
     $$
     2 \times 13.333 \approx 26.67 \text{ ml}
     $$

**Answer:**  
To make a 40 ml mixture, use approximately **13.33 ml of tint** and **26.67 ml of hydrogen peroxide**.

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### **Problem 4: Sharing 138 Jelly Tots Among Mom, Dad, and Thabo**

**Given:**
- Total Jelly Tots = 138
- Ratio of Mom to Dad to Thabo = 1:2:3

**Solution:**
1. **Determine the Total Ratio Parts:**
   $$
   1 + 2 + 3 = 6
   $$
   
2. **Find the Value of One Part:**
   $$
   \text{Value of one part} = \frac{138}{6} = 23
   $$
   
3. **Calculate Jelly Tots for Each Person:**
   - **Mom:**
     $$
     1 \times 23 = 23 \text{ jelly tots}
     $$
     
   - **Dad:**
     $$
     2 \times 23 = 46 \text{ jelly tots}
     $$
     
   - **Thabo:**
     $$
     3 \times 23 = 69 \text{ jelly tots}
     $$

**Answer:**  
**Mom** receives **23 jelly tots**.

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If you have any more questions or need further clarification on any of these problems, feel free to ask!
- **Problem 1:** There are 18 red Smarties. - **Problem 2:** Johan gets approximately 15 3⁄7 sweets and Anthony gets approximately 20 4⁄7 sweets. - **Problem 3:** Use about 13.33 ml of tint and 26.67 ml of hydrogen peroxide. - **Problem 4:** Mom gets 23 jelly tots.

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