Question

In a student government election, 7,000 students cast a vote for the incumbent, 900 vote for the opponent, and 100 cast a protest vote. What was the ratio of the incumbent”s votes in the total number of votes?

-Jarvis

Answer 1

The ratio of the incumbent”s votes in the total number of votes = 7:8

Explanation:

Given:

Number of students who cast vote for the incumbent = 7,000

Number of students who cast vote for the opponent = 900

Number of protest votes = 100

To find ratio of the incumbent”s votes in the total number of votes.

Solution:

Total number of votes cast =
`7000+900+100=8000`

Number of votes for incumbent =
`7000`

Ratio of incumbent”s votes in the total number of votes can be calculated as:

⇒
`\frac{\textrm{The incumbent's votes}}{\textrm{Total number of votes}}`

⇒
`(7000)/(8000)`

Simplifying to simplest fraction by dividing numerator and denominator by 1000.

⇒
`(7000/1000)/(8000/1000)`

⇒
`(7)/(8)`

Thus, ratio of the incumbent”s votes in the total number of votes = 7:8