Question

The candidate A, B and C were voted into office as school prefects.

A secured 45% of the votes, B had 33% of the votes and C had the
rest of the votes. If C secured 1430 votes, calculate
i.
ii.
the total number of votes cast;
how many more votes A received than C.
17700

Answer 1

Using the information given, I have calculated the following:

i. The total number of votes cast is 3,100. We can determine this by first finding the percentage of votes that C did not receive:

100% - 45% - 33% = 22%

We can then set up a proportion:

22/100 = 1430/x

Where x is the total number of votes cast. Solving for x, we get:

x = (1430 * 100)/22 = 6,500

Therefore, the total number of votes cast is 6,500.

ii. To calculate how many more votes A received than C, we need to find the number of votes that A received. We can do this by setting up another proportion:

45/100 = y/6500

Solving for y, we get:

y = (45 * 6500)/100 = 2925

Therefore, A received 2925 votes. To find the difference between the number of votes A received and the number of votes C received, we subtract:

2925 - 1430 = 1495

Thus, A received 1495 more votes than C.

Explanation: