https://file.aiquickdraw.com/mathbot/file/1726404504442lges27mj.png

I see the questions you've shared in the image. Let's break them down for clarity:

### **QUESTION TWO:**

**2.1** Name the three (3) different types (or forms) of ratios.  
**2.2** If the ratio of boys to girls is 5:6, what does it mean?  
**2.3** Express the following ratios in their simplest form:  
   - **2.3.1** 44 cm to 1 m  
   - **2.3.2** 40 minutes to 2 hours  
**2.4** Explain what is meant by direct proportion. Provide an example to substantiate your explanation.  
**2.5** Explain what is meant by indirect proportion. Provide an example to substantiate your explanation.  

### **QUESTION THREE:**

**3.1** A baker made some lemon tarts. He sold 40% of the tarts in the morning, \(\frac{2}{5}\) of the remaining tarts in the afternoon, and had 54 tarts left. How many tarts did he bake altogether?  
**3.2** Hillary has 24 fewer game cards than Jerry. 40% of Hillary's game cards is equal to \(\frac{1}{4}\) of Jerry's game cards. How many game cards do they have altogether?  
**3.3** The ratio of the number of girls to the number of boys in a swimming club was 7:2 at first. When 63 new members joined the club, the total number of members became 1,440. How many girls were in the swimming club at first?  
**3.4** Amanda, Brandon, and Charlene shared the cost for a present. Amanda's share of the cost to Brandon's share was 4:5. Brandon's share of the cost to Charlene's was 2:3. Amanda and Charlene gave a total of R46 for the present. What was the cost of the present?  
**3.5** A truck left Pretoria at 09:00 and travelled to Benoni at a speed of 50 km/h throughout the whole journey. A car left Benoni at 09:30 and travelled to Pretoria. The speed of the car remained the same until it passed the truck at 12:00. The truck had travelled \(\frac{3}{7}\) of the journey when it passed the car. The speed of the car decreased by 5 km/h after it passed the truck, and it travelled at this new speed for the rest of the journey.  
   - **3.5.1** Find the distance between Pretoria and Benoni.  
   - **3.5.2** What was the speed of the car before it passed the truck?  
   - **3.5.3** At what time did the car reach Pretoria?  
**3.6** A car left Johannesburg at 14:00 for Polokwane at a speed of 64 km/h. A truck left Johannesburg an hour later. The car and the truck maintained constant speeds. At 16:30, the car was 70 km ahead of the truck. Find the speed of the truck.

---

Let me know which question you'd like assistance with, or if you need explanations for any part. Would you like detailed solutions for all or some of these? 

Here are some related questions you might find helpful:
1. What are some examples of direct and indirect proportions in real life?
2. How can you convert ratios into different units or formats?
3. How does understanding ratio simplification help in problem-solving?
4. How can distance, speed, and time problems be structured for different scenarios?
5. What strategies can help in solving multi-step problems like question 3.5?

**Tip**: Always break down word problems into smaller steps, identifying key values and relationships first.

The image contains several math problems related to ratios, proportions, and word problems involving distance, speed, and time. These include questions on simplifying ratios, solving proportion problems, and analyzing word problems involving trucks, cars, and tarts.

This page provides detailed solutions to various ratio, proportion, and word problems involving speed, distance, and time. Learn how to simplify ratios, solve direct and indirect proportions, and break down complex word problems step by step. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation