ANSWER
a) £1350
b)£235
c)108°
EXPLANATION
The angle that corresponds to Andrew is 72°
The total angle in the circle is 360°
If 72° corresponds to £270,
Then, 360° corresponds to:
[tex] = \frac{360 \times 270}{72} [/tex]
=£1350
Therefore the total weekly income of the 5 employees is £1350.
b) The angle that corresponds to Brian's income is 62°
Brian's weekly income is
[tex] = \frac{60}{360} \times 1350[/tex]
=£225
c) Carol's weekly income is £405
Let x represent the angle representing Carol's weekly income.
[tex] \frac{x}{360} \times 1350 = 405[/tex]
[tex]3.75x = 405[/tex]
[tex]x = \frac{405}{3.75} = 108 \degree[/tex]
