A total of 120,000 votes were cast for 2 opposing
candidates, Garcia and Pérez. If Garcia won by a ratio
of 5 to 3, what was the number of votes cast for Pérez?
(A) 15,000
(B) 30,000
(C) 45,000
(D) 75,000
(E) 80,000

Respuesta :

Correct option is C. The number of votes cast for Pérez = 45,000

Let the common ratio be ′ x ′

As Garcia won against Prez by a ratio of 5 to 3,

Number of votes cast for Garcia = 5x

Number of votes cast for Prez = 3x

To find  ′ x ′ ,

Total number of votes cast = Number of votes cast for Garcia + Number of votes cast for Prez

= 5x + 3x

= 8x

But, Given that

Total number of votes cast = 120,000

From above,

8x = 120,000

8 × x = 120,000

x = 120,000 / 8

x = 15,000

Now, number of votes cast for Prez = 3x

= 3 × x

= 3 × 15,000

= 45,000

Therefore, the number of votes cast for Prez was   45,000

To learn more about linear equation from given link

https://brainly.com/question/2030026

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