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

Respuesta :

Answer:

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

Step-by-step 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 = [tex]7000+900+100=8000[/tex]

Number of votes for incumbent = [tex]7000[/tex]

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

⇒ [tex]\frac{\textrm{The incumbent's votes}}{\textrm{Total number of votes}}[/tex]

⇒ [tex]\frac{7000}{8000}[/tex]

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

⇒ [tex]\frac{7000\div1000}{8000\div1000}[/tex]

⇒ [tex]\frac{7}{8}[/tex]

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