A total of 14000 votes were cast to two opposing candidates. Adam and Karl.Adam won by ratio of 4:3 how many votes were cast to karl?

Respuesta :

8000 because add the ratio and divide to get 2000 now multiply by 4 to get 8000
ANSWER

The number of votes cast to Karl is
[tex]6000[/tex]

EXPLANATION

The total votes cast is

[tex]14000[/tex]

We were given that Adam and Karl won by ratio of
[tex]4:3[/tex]
This means the number of votes cast to Adam corresponds to 4, while that of Karl corresponds to 3.

The total ratio is

[tex] = 4 + 3 = 7[/tex]

Number of votes cast to Karl is

[tex] = \frac{Karl's\:ratio}{Total\:ratio} \times Total\:votes \:cast[/tex]

[tex] = \frac{3}{7} \times 14000[/tex]

This simplifies to,

[tex] = 3 \times 2000[/tex]

[tex] = 6000[/tex]

Therefore 6000 votes were cast in favour of Karl.
ACCESS MORE