Question

Sam and max were running for town president. Sam received 30% of the votes and Max received 420 votes. How many votes were cast in total assuming that everyone voted for either Max or Sam?

Answer 1

Answer:

The total votes were 600

Step-by-step explanation:

Percentage of votes received by Sam = 30%

Number of votes received by Max = 420

Percentage of votes received by Max = (100 - 30 )

70%

So, if the total votes were assumed as x , Max received 70% of x

According to problem,

70% of x = 420

$\implies$ $\frac{70}{100}$ × x = 420

$\implies$ $\frac{7x}{10}$ = 420

$\implies$ x = $\frac{420 × 10}{7}$

$\implies$ x = 600