The Venn diagram shows how learners travel to school, using buses (B), cars (C) or walking (W). i) Given that 22 learners walk to school, we need to find the value of $x$. ii) We need to find the number of learners who use only one mode of transport.

1. Problem Description

The Venn diagram shows how learners travel to school, using buses (B), cars (C) or walking (W).

i) Given that 22 learners walk to school, we need to find the value of $x$.

ii) We need to find the number of learners who use only one mode of transport.

2. Solution Steps

i)

The total number of learners who walk to school is

2

2. From the Venn diagram, the regions corresponding to learners who walk are $7$, $4$, $x$ and $3$. The sum of these numbers must be equal to

2

2. $7 + 4 + x + 3 = 22$

$14 + x = 22$

$x = 22 - 14$

$x = 8$

ii)

Learners who use only one mode of transport are those who use only buses, only cars, or only walking. From the Venn diagram, the number of learners who use only buses is 14, the number who use only cars is 7, and the number who use only walking is

7. So, the total number of learners who use only one mode of transport is $14 + 7 + 7 = 28$.

3. Final Answer

i) $x = 8$

ii) $28$