2026-08-29T08:10:04.782821 image/svg+xml Matplotlib v3.10.9, https://matplotlib.org/ © EAGLE BEACON GLOBAL A survey recorded the number of passengers boardi...
Question 1 Report
A survey recorded the number of passengers boarding a bus route on a Monday morning, split by ticket type. The bar chart shows the results.
- Work out the percentage of passengers who were children. (2)
- The bus company wants senior passengers to make up 35% of the total next month, assuming the same total number of passengers. Find how many more senior passengers than shown here would be needed. (2)
Answer Details
This question tests reading frequencies from a bar chart, finding a percentage of the total, and using a target percentage to find how many more of a category are needed.
Reading each bar against the frequency axis gives the following passenger counts:
| Ticket type | Adult | Child | Senior |
|---|---|---|---|
| Passengers | 240 | 96 | 144 |
- The total number of passengers is \(240 + 96 + 144 = 480\). The percentage who were children is \(\frac{96}{480} \times 100 = \) 20% [2].
- A 35% share of the same 480 total passengers would be \(0.35 \times 480 = 168\) senior passengers. Since 144 senior passengers are shown, \(168 - 144 = \) 24 more senior passengers would be needed [2].
When a target is expressed as a percentage of an unchanged total, apply that percentage to the same total used in part (a); recomputing the total from scratch each time keeps the two parts of the question consistent.
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