Question

In the election $60\%$ of voters cast their votes. Form an equation and draw the graph for this data. Find the following from the graph.
(i) The total number of voters, if $1200$ voters cast their votes
(ii) The number votes cast, if the total number of voters are $800$

Answer 1

Let the total number of voters be $Y$

Let the number of people who cast there vote to be $X$

Given $60\%$ cast, their votes

Therefore $\frac{60}{100}X=Y$

i.) given number of votes are $1200$

Implies $Y=1200$

Therefore number of voters $=X=\frac{5}{3}Y$ $=\frac{5}{3}\times 1200=2000$

ii.) now given no of voters $=800$

i.e $X=800$

Therefore we know $Y=\frac{3}{5}\times X$

$\Rightarrow Y=\frac{3}{5}\times 800=480$