Question

You're at a halloween fair with a big ferris wheel. the wheel has ten chairs and people are seated two per chair. every minute a chair passes the exit platorm. the wheel opens at 11 am for thirty minutes -- how many people took a ride in that time?

Answer 1

The number of people who took ride in the big ferris wheel at a fair can be calculated by proper dimensional analysis. This can be done through the equation below,

         n = (number of minutes)(rate at which the chair passes the exit platform)(number of persons per chair)

Substituting the known values to the equation,

       n = (30 minutes)(1 chair / minute)(2 persons / chair)
                 n = 60 persons

Answer: 60 persons

Answer 2

The number of people took a ride in 30 minutes is $\boxed{78{\text{ people}}}$.

Further explanation:

The arithmetic sequence can be expressed as follows,

${a_1}$, ${a_2}$ , ${a_3}$ ,….

Here, $a{\text{ or }}{a_1}$ represents the first term, ${a_2}$ represents the second term, and so on.

The common difference “d” can be obtained as follows,

$\boxed{d = {a_2} - {a_1}}$

The nth term can be obtained as follows,

$\boxed{{a_n} = a + \left( {n - 1} \right)d}$

Explanation:

The Ferris wheel has ten chairs and the number of people seated on each chair is 2.

Therefore, 20 people are seated on the ten chairs.

The wheel opens at 11 am for thirty minutes.

After each minute a chair passes the exit platform. Therefore, 2 people will exit from the wheel and 2 new people will sit on the chair.

The sequence of number of people sit after each minute can be expressed as follows,

$Sequence = {\text{20, 22, 24, 26,}} \ldots$

In starting there are 20 people seated on the 10 chairs.

After a minute the chair passes through the exit. Therefore, 2 new people will sit.

The total number of people will sit in thirty minutes can be calculated as follows,

$\begin{aligned}{a_{30}}&= 20 + \left({30 - 1} \right)\left( 2 \right)\\&= 20 + 29\times2\\&= 20 + 58\\&=78\\\end{aligned}$

Hence, the number of people took a ride in 30 minutes is $\boxed{78{\text{ people}}}$.

Learn more:

1. Learn more about inverse of the function brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic operations

Keywords:Arithmetic equation, Halloween fair, big Ferris wheel, ten chairs, people , two people per chair, every minute, exit platform, wheel, ride, thirty minutes, opens at 11 am, chairs.