https://file.aiquickdraw.com/mathbot/file/1729695545487m24vpv8u.jpg

Let's solve this step by step.

### Observations from the Pie Chart:
- The section for **children** is marked as **100°** out of the total 360° (since it’s a full circle).
- The question states that there were **102 children** on the plane.

Now, let’s work out the number of **adults** (men and women combined).

---

### Step 1: Calculate the total number of people on the plane
Since 100° corresponds to 102 children, we can set up a proportion to find the **total number of people** on the plane.

\[
\frac{100^\circ}{360^\circ} = \frac{102}{\text{Total People}}
\]

Solving for the total number of people:

\[
\text{Total People} = \frac{102 \times 360}{100} = 367.2 \approx 367
\]

So, there are about **367** people on the plane.

---

### Step 2: Calculate the total number of adults
Since children represent 100° out of 360°, the remaining degrees (representing adults) are:

\[
360^\circ - 100^\circ = 260^\circ
\]

Using the same proportion as before:

\[
\frac{260^\circ}{360^\circ} = \frac{\text{Adults}}{367}
\]

Solving for the number of adults:

\[
\text{Adults} = \frac{260 \times 367}{360} = 265.3 \approx 265
\]

Thus, the total number of **adults** on the plane is approximately **265**.

---

Let me know if you'd like further details or have any questions!

---

### Related Questions:
1. How do you convert angles in a pie chart to percentages?
2. What is the importance of rounding when dealing with real-world data?
3. Can you solve this problem using fractions instead of proportions?
4. If the number of children were 150, how would the total number of passengers change?
5. How would the calculation change if the angle given for children was not 100° but 90°?

---

**Tip:** Always ensure that your answers make sense contextually, especially when rounding, since you can’t have fractional people on a plane!

The pie chart shows information about people on a plane. There were 102 children on the plane. Work out the total number of adults.

This problem involves determining the total number of adults on a plane based on a pie chart showing children, men, and women. With 102 children representing 100 degrees, the solution uses proportion formulas to find the total number of people and adults.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation