Question

100 students were asked whether they walk, take the bus or cycle to school.
42 students are girls and the rest are boys.
19 girls cycle to school.
35 boys walk to school.
9 of the 20 students who take the bus to school are girls.

work out the number of students who cycle to school.

Explanation:

⚡ Using what you learned: Organizing Data in Tables

Step 1: Set up a two-way table

We can organize the information into a table with rows for gender (Girls, Boys, Total) and columns for transport methods (Walk, Bus, Cycle, Total).

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Step 2: Calculate the total number of boys

Subtract the number of girls from the total number of students:

$$ \text{Total Boys} = 100 - 42 = 58 $$

Step 3: Find the number of boys who take the bus

We are given that \(20\) students in total take the bus, and \(9\) of them are girls:

$$ \text{Boys (Bus)} = 20 - 9 = 11 $$

Step 4: Find the number of boys who cycle

Using the total number of boys (\(58\)), subtract those who walk (\(35\)) and those who take the bus (\(11\)):

$$ \text{Boys (Cycle)} = 58 - 35 - 11 = 12 $$

Step 5: Calculate the total number of students who cycle

Add the girls who cycle (\(19\)) and the boys who cycle (\(12\)):

$$ \text{Total Cycle} = 19 + 12 = 31 $$

Answer:

31