# Math

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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?

• Math -

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
Bert gets 65% of 900 = 585

Carla gets 1260 - 360 - 585 = 315
All is good!

• Math -

• Math -

. 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 -

480

• mathie -

21

• Math -

Alyssa, Bert, and Cara are running for school president. Alyssa receives one-third 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?

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