A Durban stadium seating plan is provided. (1) Determine the ratio of seats on the South side to the seats on…

Question

A Durban stadium seating plan is provided. (1) Determine the ratio of seats on the South side to the seats on the East Upper side. (2) Zintle is moving from seat E66 to her friend at seat WU41. Help Z

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Here are the solutions to the questions based on the Durban stadium seating plan:

2.1.1 Determine the ratio of seats on the South side to the seats on the East Upper side respectively.

Count the number of seats on the South side.
The seats on the South side are S32, S33, S34, S35, S36, S37, S38.
There are 7 seats on the South side.
Count the number of seats on the East Upper side.
The seats on the East Upper side are EU60, EU61, EU62, EU63, EU64, EU65, EU66, EU67, EU68, EU69, EU70, EU71.
There are 12 seats on the East Upper side.
Write the ratio.
The ratio of seats on the South side to the seats on the East Upper side is $7:12$ .
$\boxed{\text{7:12}}$
2.1.2 Zintle is moving from seat E66 to her friend at seat WU41. Help Zintle with the general directions to follow in order to reach her friend.
Locate the starting seat E66.
Seat E66 is in the East Upper section of the stadium.
Locate the destination seat WU41.
Seat WU41 is in the West Upper section of the stadium.
Determine the general direction from E66 to WU41.
To move from the East Upper section to the West Upper section, Zintle needs to travel across the stadium from East to West.
$\boxed{\text{West}}$
2.1.3 Determine the probability of randomly selecting the seat numbers that start with letter W. Write your answer as a percentage rounded off to 2 decimal digits.
Count the total number of seats in the stadium.
- North Upper (NU): 10 seats (NU50-NU59)
- North Lower (NL): 10 seats (NL10-NL19)
- East Upper (EU): 12 seats (EU60-EU71)
- East Lower (E): 11 seats (E20-E30)
- South (S): 7 seats (S32-S38)
- West Upper (WU): 12 seats (WU39-WU50)
- West Lower (W): 11 seats (W1-W11) Total number of seats $= 10 + 10 + 12 + 11 + 7 + 12 + 11 = 73$ seats.
Count the number of seats that start with the letter W.
- West Upper (WU): 12 seats (WU39-WU50)
- West Lower (W): 11 seats (W1-W11) Total number of seats starting with W $= 12 + 11 = 23$ seats.
Calculate the probability.
The probability is the ratio of the number of seats starting with W to the total number of seats.
$P(\text{W seats}) = \frac{\text{Number of W seats}}{\text{Total number of seats}} = \frac{23}{73}$
Convert the probability to a percentage and round to 2 decimal places.
$P(\text{W seats}) = \frac{23}{73} \times 100\% \approx 0.315068 \times 100\% \approx 31.5068\%$
Rounded to two decimal places, the probability is $31.51\%$ .
$\boxed{\text{31.51\%}}$

A Durban stadium seating plan is provided. (1) Determine the ratio of seats on the South side to the seats on the East Upper side. (2) Zintle is moving from seat E66 to her friend at seat WU41. Help Z

Step-by-step solution

Count the number of seats on the South side.

Count the number of seats on the East Upper side.

Write the ratio.

Locate the starting seat E66.

Locate the destination seat WU41.

Determine the general direction from E66 to WU41.

Count the total number of seats in the stadium.

Count the number of seats that start with the letter W.

Calculate the probability.

Convert the probability to a percentage and round to 2 decimal places.

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