This is my question. During an local election the ratio of teens to adults who voted was 6:7. If 364 people voted how many were teens?

To determine the number of teens who voted, we'll need to calculate the portion of the total votes represented by teens.

First, let's represent the ratio of teens to adults who voted as 6:7. This means that for every 6 teens, there were 7 adults who voted.

Let's assume the number of teens who voted is 6x, and the number of adults who voted is 7x.

The total number of votes cast is given as 364. So we have the equation:

6x + 7x = 364

Combining like terms:
13x = 364

Now, we can solve for x by dividing both sides of the equation by 13:

x = 364 / 13

x ≈ 28

Now that we have the value of x, we can calculate the number of teens who voted by substituting this value back into the equation:

Number of teens who voted = 6x = 6 * 28 = 168

Therefore, there were approximately 168 teens who participated in the local election.

Divide 364 by 13 and multiply that value by 6.