1. **Problem statement:** We are given a bar graph showing the number of fruits sold in a school's cafeteria for four types of fruits: Oranges, Portugals, Bananas, and Mangoes.
- Number of Portugals sold = 96
- Number of Mangoes sold = $\frac{1}{3}$ the number of Portugals
- Mean number of fruits sold = 60
We need to find the number of Bananas sold and draw the bar accordingly.
2. **Step 1: Calculate the number of Mangoes sold.**
$$\text{Mangoes} = \frac{1}{3} \times 96 = 32$$
3. **Step 2: Use the mean to find the total number of fruits sold.**
Mean number of fruits sold = 60 for 4 fruit types, so total fruits sold:
$$\text{Total} = 60 \times 4 = 240$$
4. **Step 3: Use the total to find the number of Bananas sold.**
Let $B$ be the number of Bananas sold.
We know:
$$\text{Oranges} + \text{Portugals} + B + \text{Mangoes} = 240$$
From the graph, Oranges sold = 40, Portugals = 96, Mangoes = 32.
Substitute:
$$40 + 96 + B + 32 = 240$$
Simplify:
$$168 + B = 240$$
5. **Step 4: Solve for $B$.**
$$B = 240 - 168 = 72$$
6. **Answer:** The number of Bananas sold is **72**.
This means the bar for Bananas should reach 72 on the graph's y-axis.
Fruits Bargraph Fb522A
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.