In a school election. Yolanda got 160 more votes than Alex, and Alex got twice as many votes as Jennifer. A total of 440 votes were cast.

permaneceerc

permaneceerc

Answered question

2021-02-03

In a school election. Yolanda got 160 more votes than Alex, and Alex got twice as many votes as Jennifer. A total of 440 votes were cast.

Answer & Explanation

Pohanginah

Pohanginah

Skilled2021-02-04Added 96 answers

From
3x+y=18)
we get
y=3x18)
we will substitute
y=3x18)
in4x+3y=11)
4x+3(3x18)=11)
4x+9x54=11)
13x54=11)
13x=11+54)
13x=65)
x=6523)
x=5
plugx=53x+y=18andfdy)
Answer:
x=5
Let x be the number of votes Jennifer got
Then the number of votes got by alex is 2x and the number of votes got by yolanda is
2x+160
since total casted votes are 440
(2x+160+2x+x=440)
(5x+160=440)
(5x=440160)
(5x=280)
(x=2805)
(x=56)
Therefore the number of votes got by jennifer is 56
The number of votes got by alex is 2x=2(56)=112
Ther number of votes got by yolanda is 2x+160=112+160=271

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