Final answer:
At a polling place with 120 people and a voting to non-voting ratio of 1:5, there are 100 people who have not voted.
Step-by-step explanation:
The student has asked how many people have not voted at a polling place where there are 120 people and the ratio of people who have voted to those who haven't voted is 1:5. To find the number of people who have not voted, we need to consider the total number of people (120) and the given ratio (1:5).
Let's assign the number of people who have voted as 'x'. According to the ratio, 5x will represent the number of people who have not voted. Since the total number of people at the polling place is the sum of voters and non-voters, the equation will be:
x + 5x = 120
Combining like terms, we get:
6x = 120
Dividing both sides by 6 to solve for 'x', we find:
x = 120 / 6
x = 20
Therefore, there are 20 people who have voted. Now, to find the number of people who have not voted, we multiply the number of voters by 5:
Non-voters = 5 × Voters
Non-voters = 5 × 20
Non-voters = 100
Thus, 100 people have not voted at the polling place.