7. In an election there are only 2 candidates. The candidates who gets 62
percent of votes is elected by a majority of 144 votes. Find the total number of
votes recorded.

Let the total number of votes recorded be \( x \). 

One candidate received 62% of the votes, so the other candidate received \( 100\% - 62\% = 38\% \).

The difference in votes between the two candidates is \( 62\% - 38\% = 24\% \) of the total votes. This difference is given as 144 votes.

Thus, we can set up the equation:

\[
0.24x = 144
\]

Now, solve for \( x \):

\[
x = \frac{144}{0.24} = 600
\]

So, the total number of votes recorded is **600**.

Would you like a more detailed explanation, or do you have any other questions? 

Here are 5 related questions for further exploration:
1. What if the winning candidate received 70% of the votes?
2. How many votes did each candidate receive in this case?
3. How would the total votes change if the majority difference was 200 votes?
4. What percentage of votes would the winning candidate need if the majority difference was 100 votes?
5. How can you generalize this approach for any election with 2 candidates?

**Tip**: Always express percentages as decimals when solving word problems in algebra.

In an election there are only 2 candidates. The candidate who gets 62 percent of votes is elected by a majority of 144 votes. Find the total number of votes recorded.

Learn how to solve an election vote percentage problem where the winning candidate receives 62% of the total votes, with a 144 vote majority. This problem demonstrates how to work with percentages and linear equations. Suitable for students in Grades 6-8.

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