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

Question

pogonyaev

3 years ago

7

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?

Mathematics

2 answers:

Ilia_Sergeevich [38] · Answer 1 · 2021-12-16T21:04:13+03:00

Ilia_Sergeevich [38]3 years ago

7 0

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

musickatia [10] · Answer 2 · 2021-12-16T22:46:23+03:00

ANSWER

The number of votes cast to Karl is
$6000$

EXPLANATION

The total votes cast is

$14000$

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

The total ratio is

$= 4 + 3 = 7$

Number of votes cast to Karl is

$= \frac{Karl's\:ratio}{Total\:ratio} \times Total\:votes \:cast$

$= \frac{3}{7} \times 14000$

This simplifies to,

$= 3 \times 2000$

$= 6000$

Therefore 6000 votes were cast in favour of Karl.