Question

In the election for class president, there were two candidates, Joel and Sean. Joel got 60% of the votes, which was 38 votes more than Sean. Find the total number of votes cast.

Answer 1

190

Explanation:

40/100 x 198= 76

40/100 x 198= 114

114-76= 38

Answer 2

190.

Explanation:

Let x represent total number of votes.

We have been given that Joel got 60% of the votes, which was 38 votes more than Sean.

60% of total votes:
`(60)/(100)x=0.60x`

Since Joel got 60% of total votes, so Sean got 40% of total votes that is
`(40)/(100)x=0.40x`

Since Joel got 38 votes more than Sean, so we can represent this information in an equation as:

`0.60x=0.40x+38`

`0.60x-0.40x=0.40x-0.40x+38`

`0.20x=38`

`(0.20x)/(.20)=(38)/(.20)`

`x=190`

Therefore, the total number of votes cast is 190.