Question

In a school election there were four candidates: Tom, Rebecca, Olly and Wendy.

540 students voted in the election.
5% of the votes were for Tom
of the votes were for Rebecca
The ratio of the number of votes for Olly to the number of votes to Wendy was 1:2
How many votes were for Wendy?

Answer 1

To find how many votes Wendy received in a school election, we first calculated 5% of the total votes (540) which gave us Tom's votes. The remaining votes were then divided according to the 1:2 ratio between Olly and Wendy. Wendy, receiving twice as many votes as Olly, got 342 votes.

Step-by-step explanation:

The question presents a situation where 540 students voted in a school election with four candidates: Tom, Rebecca, Olly, and Wendy. Tom received 5% of the votes and there is a ratio of 1:2 for the number of votes Olly to Wendy received. We are asked to find out how many votes Wendy received.

Firstly, we calculate 5% of 540 to find out how many votes Tom received:

• 540 x 0.05 = 27 votes for Tom.

Subsequently, we subtract Tom's votes from the total to find out the votes shared between Rebecca, Olly, and Wendy:

• 540 - 27 = 513 votes for Rebecca, Olly, and Wendy.

To find Wendy's votes, we consider the ratio of Olly to Wendy votes, which is 1:2. This means for every 3 votes (1 for Olly and 2 for Wendy) Wendy receives twice as many as Olly. Since the three parts represented by the ratio must add up to 513 votes, we divide 513 by 3 to find out the value of one part:

• 513 ÷ 3 = 171 votes.

Since Wendy receives two parts, we multiply 171 by 2:

• 171 x 2 = 342 votes for Wendy.

Therefore, Wendy received 342 votes.

The subject addressed here is Mathematics, specifically, calculating percentages and working with ratios which is a common type of problem in high school level math.

Answer 2

5% of votes were for Tom: 27

2/9 of the votes were for Rebecca: 114

213 votes are for Wendy