Question

The pie chart shows how 36 pupils travel to school.
Use the pie chart to complete the table.
Bike
Walk
Travel to
school
Number
of pupils
Walk
9
120°
Car
Bus
Bus
Car
Bike
Total
36

Answer 1

Answer:

$Bike = 7$

$Car = 8$

$Walk = 9$

$Bus = 12$

Step-by-step explanation:

Given

$Bus = 120^o$

$Walk = 90^o$

$Car = 80^o$

$n = 36$ --- pupils

Required

Determine the number of students in each category

This is calculated by dividing the measure of each category by 360; then multiply the result by the number of pupils:

So, we have:

$Bus = \frac{120}{360} * 36 = \frac{1}{3} * 36 = 12$

$Walk = \frac{90}{360} * 36= \frac{1}{4} * 36 = 9$

$Car = \frac{80}{360} * 36 = \frac{80}{10} = 8$

To calculate the number of students that travel by bike, we have:

$Car + Bike + Walk + Bus= n$

Substitute values

$8 + Bike + 9+ 12= 36$

Collect like terms

$Bike = 36 - 8 - 9 - 12$

$Bike = 7$