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A survey of a random sample of registered voters shows that 42% of males and 64% of females plant to vote to re-elect a senator. Predict the overall percent of the votes that the senator will get, assuming that the ratio of males to females who vote in the election is 3 to 2. Explain how you get your answer.

The overall percentage voters the senator will have is 48.69%

Step-by-step explanation:

The ratio of males to females  3:2

Percentage of registered voters male = 42%

Percentage of registered voters female = 64%

let the total male = x

let the total female = y

votes of male = 0.42x

votes of female = 0.64y

0.42x/0.64y = 3/2

cross multiply

0.42x * 2 = 0.64y x 3

x = 1.92y / 0.84

x = 16/7 y

Senators total votes = (0.42x + 0.64y / x + y ) x 100

                    = (0.42(16/7y) + 0.64y / (16/7y) + y) x 100

= ((0.06 x 16 + 0.64) y / 23/7 y) x 100

= (0.96 + 0.64/ 23) x 7 x 100

= (1.60 / 23 x 7 x 100)

= 48.69%

Therefore the overall percentage that the senator will get is 48.69%