Question

The day after the school election it was reported that Danny won the election for class president. For every three votes his opponent received, Danny received 5 votes. Every student voted exactly once. If the students voted only for either Danny or his opponent and Danny's opponent received 312 votes, how many students voted in the election?

Answer 1

Answer:

832 votes were cast

Step-by-step explanation:

 

Danny received  =          5 of every 8 votes

Opponent received  =     3 of every 8 votes

 

Let V stand for the total number of votes cast.

 

The opponent's 3/8 of the votes was 312  so  (3/8) times V  = 312

 

(3/8)(V)  =  312

 

V  =  (312)/(3/8)              ( i.e., 312 divided by 3/8 )

 

To divide by a fraction, you invert the divisor and multiply

 

V  = (312) x (8/3)  =  2496/8  =  832 total votes  

Answer 2

Answer:

I think the answer is 832 but I'm not sure as I'm not the best at math.

Hope this helps anyhow! <33