Anonymous

# Math 20 voting question?

At the student council elections, 3 candidates ran for president. There were 584 students eligible to vote. The first candidate had 40 votes more than the second candidate and the third candidate had 20 fewer votes than the second candidate. What is the maximum number of votes the winning candidate could have received?

Relevance

x = number of votes for candidate 1

y = number of votes for candidate 2

z = number of votes for candidate 3

total number of students eligible to vote = 584

x = (y + 40)

z = (y - 20)

y = ?

584 = x + y + z

584 = (y + 40) + y + (y - 20)

584 = 20 + 3y

584 - 20 = 3y

564 = 3y

divide both sides by 3

188 = y

x = 188 + 40

x = 228

z = 188 - 20

z = 168

*The maximum number of votes the winning candidate could have received is 228.

• Login to reply the answers
• Since you have 3 unknowns (3 candidates), you need 3 equations to determine those unknowns. Let A = 1st candidate, B = 2nd candidate, C = 3rd candidate:

A = 40 + B

B = 20 + C

A + B + C = 584

Substituting 2nd eqn in to 1st:

A = 40 + (20 + C) = 60 + C

Plug new A and B in to 3rd eqn:

(60 + C) + (20 + C) + C = 584

80 + 3C = 584

3C = 504

C = 168

therefore, B = 188 and A = 228

check: 168 + 188 + 228 = 584 .. bango

A = 1st Candidate = 228 votes.

• Login to reply the answers
• 584 = x + x-40 + x -60 where x is the winning candidates number of votes

584 = 3x -100

684 = 3x

(divide by 3)

228 = x

so the winning candidate got 228 votes the others got 188 and 168

• Login to reply the answers

(x+40)+x+(x-20)=584

or3x+20=584

or 3x=584-20=564

or x=564/3=188

so x+40=188+40=228 ans

• Login to reply the answers
• a + b + c = 584

a = b + 40

c = b - 20

a = 228 ; b = 188 ; c = 168

228

• Login to reply the answers
• Hussein says he will decrease taxes for ninety 5% of human beings. this might make him the 1st Democrat president to decrease all and sundry's taxes. If what he says it authentic, and it is not via fact he's a liar, he's the authentic maverick.

• Login to reply the answers
• Anonymous

Most votes possible for the winner is 228.

Now what do I win??

• Login to reply the answers
• wow....I am really wishing I had paid attention in math class

• Login to reply the answers
• figure it out ure self dum-dum...

really seriously figure it out yourself ya frikin DA

• Login to reply the answers
• 584-60=

524

ur welcome!

• Login to reply the answers