Math
posted by Chris .
Alyssa, Bert, and Cara are running for school president. Alyssa receives twosevenths of the votes. Bert receives sixtyfive percent of the remaining votes, and the rest of the votes go to Cara. If Cara receives 315 votes, how many votes were there in all?
Please help with step by step.

number of votes  x
Alyssa gets (2/7)x
leaving 5x/7
Bert gets 65% of that or .65(5x/7)
Cara gets x  2x/7  .65(5x/7)
but that is 315
x  2x/7  .65(5x/7) = 315
times 7
7x  2x  .65(5x) = 315
1.75x = 2205
x = 1260 > number of votes
check:
Alyssa gets (2/7)1260 = 360
leaving 900 votes
Bert gets 65% of 900 = 585
Carla gets 1260  360  585 = 315
All is good! 
idk the answer

. Alyssa receives twosevenths of the votes. Bert receives sixtyfive percent of the remaining votes, and the rest of the votes go to Cara. If Cara receives 315 votes, how many votes were there in all?

480

21

Alyssa, Bert, and Cara are running for school president. Alyssa receives onethird of the votes. Bert receives 60 percent of the remaining votes, and the rest of the votes go to Cara. If Cara receives 96 votes, how many votes were there in all?
Respond to this Question
Similar Questions

Math
Andy and Cathy run for class president. There were 598 votes but 36 of the votes were with drawn. How would I write an equation that could be use to find n the number of votes that represent a tie? 
Algebra
In an election between two candidates, 530 votes were cast. If the winner received received 150 more votes than the loser, how many votes did the winner receive? 
stats
a candidate receives 60% of the N votes in an election, where N is very large. Compute the probability that he leads after a count of the first 100 votes. 
algebra
please help me write a complete algebraic solution thanks problem 18. mike, alex, olivia ran for the office of president of their senior class . of the 400 votes cast, olivia received 38% of the votes and michael received 116 votes. … 
Math
Using the Borda Count Method, find the winner of the election A has 3106 votes B has 3134 votes C has 2816 votes D has 3024 votes 
Math
Using the Borda Count Method, find the winner of the election A has 3106 votes B has 3134 votes C has 2816 votes D has 3024 votes 
Algebra
In a recent school board election, the two candidates for president received 2590 votes. The loser received 1302 fewer votes than the winner. How many votes did the winner receive? 
math
Leila, Larry, and Cindy are running for 12th grade class offices. They will be named to the positions of president, vicepresident, and secretary according to the number of votes each receives. The person with the most votes will be … 
percentage
in an election between two candidates one got 55% of the valid votes. 20% of the votes are invalid. if the total votes are 500 what is the percent of total votes that the other person got 
AMERICAN GOVERMENT CCA
Which of the following represents one of congress's electoral powers?