A sample of 120 votes were cast for five contestants. The table shows the votes received by four of them. Calculate the number of votes for Dalaba and determine the winner.

Now we have the votes for all contestants:

• Agbeke: 14 votes
• Katume: 11 votes
• Dalaba: 19 votes
• Dramani: 52 votes
• Quainoo: 24 votes Total votes: 120

To draw a pie chart, we need to calculate the angle for each contestant's sector. The total angle in a circle is $360^\circ$.
Angle for each contestant $= \left(\frac{\text{Number of votes}}{\text{Total votes}}\right) \times 360^\circ$.

• Agbeke: $\frac{14}{120} \times 360^\circ = 14 \times 3^\circ = 42^\circ$
• Katume: $\frac{11}{120} \times 360^\circ = 11 \times 3^\circ = 33^\circ$
• Dalaba: $\frac{19}{120} \times 360^\circ = 19 \times 3^\circ = 57^\circ$
• Dramani: $\frac{52}{120} \times 360^\circ = 52 \times 3^\circ = 156^\circ$
• Quainoo: $\frac{24}{120} \times 360^\circ = 24 \times 3^\circ = 72^\circ$

Check sum of angles: $42^\circ + 33^\circ + 57^\circ + 156^\circ + 72^\circ = 360^\circ$.

The winner is the contestant with the highest number of votes.
Comparing the votes: Agbeke (14), Katume (11), Dalaba (19), Dramani (52), Quainoo (24).
Dramani has the highest number of votes (52), so Dramani is the winner.

To find the percentage of total votes the winner obtained: