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.
the total number of votes cast:
how many more votes A received than C

Answer 1

i. The total number of votes cast is 6545 votes.

ii. A received 1513 more votes than C.

Explanation:

i. Calculation total number of votes cast:

C secured 1430 votes

C had the rest of the votes, which is 22% (100% - 45% - 33% = 22%)

Let's call the total number of votes cast as x

Then, 22% of x is 1430

Solving for x:

1430/0.22 = x

x = 6545 votes

Therefore, the total number of votes cast is 6545

ii. Calculation of how many more votes A received than C:

A secured 45% of the votes

45% of 6545 votes is 2944.25 votes (round to 2943 votes)

C secured 1430 votes

So the difference between A and C is:

2943 - 1430 = 1513 votes

Therefore, A received 1513 more votes than C.