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

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 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?

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