Question

Only 60% and 50% of eligible voters of town A and B respectively, cast their vote in the election. The total number of votes cast were $1200.$
Which of the following linear equations represents this scenario accurately?
(Assume number of eligible voters in town A to be $x$ and in town B to be $y$)

• A. $5x+6y=12000$
• B. $6x+5y=12000$
• C. $5x+6y=1200$
• D. $6x+5y=1200$

Answer 1

The correct option is B $6x+5y=12000$

We know the total votes cast were $1200$. So, 60% of $x$ and 50% of $y$ should be equal to $1200.$
$⟹(\frac{60}{100}\times x)+(\frac{50}{100}\times y)=1200⟹6x+5y=12000$