Posted by **Chris** on Tuesday, December 11, 2012 at 7:45pm.

Alyssa, Bert, and Cara are running for school president. Alyssa receives two-sevenths of the votes. Bert receives sixty-five 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.

- Math -
**Reiny**, Tuesday, December 11, 2012 at 8:52pm
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!

- Math -
**Anonymous**, Wednesday, February 3, 2016 at 1:07pm
idk the answer

- Math -
**Anonymous**, Monday, February 29, 2016 at 11:47am
. Alyssa receives two-sevenths of the votes. Bert receives sixty-five 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?

- Math -
**james**, Wednesday, April 6, 2016 at 12:21pm
480

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