Math
posted by Chris on .
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?