SOLUTION: In a pre-election poll, residents indicated their voting intentions. The number of voters that favored each candidate A, B, and C are known shown. A: 165 B: 87 C: 48 If 7500

Algebra ->  Probability-and-statistics -> SOLUTION: In a pre-election poll, residents indicated their voting intentions. The number of voters that favored each candidate A, B, and C are known shown. A: 165 B: 87 C: 48 If 7500       Log On


   

Question 1189104: In a pre-election poll, residents indicated their voting intentions. The number of voters that favored each candidate A, B, and C are known shown.
A: 165
B: 87
C: 48
If 7500 people vote in the election, how many do you expect to vote for
I. A
II. B
III. C
Answer by ikleyn(52858) About Me  (Show Source):
You can put this solution on YOUR website!
.
In a pre-election poll, residents indicated their voting intentions.
The number of voters that favored each candidate A, B, and C are known shown.
A: 165
B: 87
C: 48
If 7500 people vote in the election, how many do you expect to vote for
I. A
II. B
III. C
~~~~~~~~~~~~~

Informal solution, as your intuition should tell you, is THIS: 

    add 165 + 87 + 48 = 300.


    So, the answer is  A = %287500%2F300%29%2A165 = 25*165 = 4125

                       B = %287500%2F300%29%2A165 = 25* 87 = 2125

                       C = %287500%2F300%29%2A165 = 25* 48 = 1200.


Formal solution is THIS: 

    7500 = 165x + 87x + 48x

      x  = 7500%2F%28165%2B87%2B48%29 = 7500%2F300 = 25.


    A = 25*165

    B = 25*87

    C = 25*48


and the final numbers are as above.

Solved.