Question

In an election contested between Biden and Trump, Biden obtained votes equal to twice

the number of persons on the electoral roll, who did not cast their vote. If there were 20,000

persons on the electoral roll. Represent this algebraically. Take number of votes obtained by

Biden and Trump are x and y respectively.

a) 3x+ 2y = 36000

b) 3 x− 2y = 20000

c)3 x+ 2y = 40000

d ) 2x+3y=50000

Answer 1

So

x = 2{2x-[18000-x-2x]}

x = 2{2x - 18000 + 3x}

x = 2{5x - 18000}

x = 10x - 36000

9x = 36000

x = 4000

So, No. of votes given to B = 18000-x-2x = 18000-4000-2×4000 = 18000-12000 = 6000 votes.

Answer 2

Answer:

option c

Step-by-step explanation:

Given :-

In an election contested between Biden and Trump, Biden obtained votes equal to twice

the number of persons on the electoral roll, who did not cast their vote. If there were 20,000

persons on the electoral roll.

To find :-

Represent this algebraically.?

Solution :-

Let the number of votes obtained by Biden be x Let the number if votes obtained by Trump be y

Number of contested persons = 2

Given that

Total number of persons on the electoral poll = 20,000

The number of persons who did not cast their vote = 20000-x-y

=> 2000-(x+y)

Given that

Biden obtained votes equal to twice

the number of persons on the electoral roll, who did not cast their vote

=> x = 2[20000-(x+y)]

=> x = 40000-2x-2y

=> x+2x+2y = 40000

=> 3x+2y = 40000

Answer:-

The linear equation in two variables represents the above data is 3x+2y = 40000