Question

In a recent student government​ election, the ratio of students who voted for the winner to all the students who voted was 0.88 The number of students who voted was 75. How many votes did the winner​ get?

Answer 1

See a solution process below:

Explanation:

Because the ratio of students who voted for the winner compared to all students who voted is `0.88` we can rewrite this as:

`0.88 = 88/100`

And, because we know the total number of students who voted is 75 and if we call the number of students who voted for the winner `s`, we can then write this relationship and solve for `s`:

`88/100 = s/75`

`color(red)(75) xx 88/100 = color(red)(75) xx s/75`

`6600/100 = cancel(color(red)(75)) xx s/color(red)(cancel(color(black)(75)))`

`66 = s`

`s = 66`

The winner received `color(red)(66)` of the 75 votes.