We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
71
3
avatar

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?

 Mar 10, 2019
 #2
avatar
+1

 

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? 

 

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 

 

.

 Mar 10, 2019
 #3
avatar+101391 
0

For every vote that his opponent receives, Danny gets 5/3  votes

 

So.....the number of votes that Danny receives is 312(5/3)  = 520 votes

 

So    312 + 520   =   832 votes were cast

 

 

cool cool cool

 Mar 10, 2019

7 Online Users

avatar
avatar
avatar