Chapter 7.4, Problem 28E

a.

To determine

To calculate: the percent of seats that are either main level or middle level.

Answer to Problem 28E

The percent of main level and middle level seats is 57.9%

Explanation of Solution

Given information: consider the table provided in the question,

  

Calculation:

Total number of seats in the stadium,

  $25739+14446+24968+4185=69338$

Number of seats in main level or middle level,

25739 + 14446 = 40185

Use the percentage equation,

p %·69338 = 40185

Divide by 69338 on both sides,

  $\begin{array}{l}\frac{p\%·69338}{69338}=\frac{40185}{69338}\\ \frac{p}{100}=0.579\\ p=57.9\%\end{array}$

Hence, the percent of main level and middle level seats is 57.9%

b.

To determine

To calculate: the number of seats in these two sections occupied together

Answer to Problem 28E

The total number of seats occupied in upper and middle level is 25949

Explanation of Solution

Given information: consider the table provided,

  

75% of upper level seats and 50% of middle level seats are occupied

Calculation:

Total number of upper level seats = 24968

Percent occupied = 75%

Therefore, the number of seats occupied, use the percentage equation,

  $\begin{array}{l}75\%·24968=a\\ a=0.75·24968\\ a=18726\end{array}$

Total number of middle level seats = 14446

Percent occupied = 50%

Therefore, the number of seats occupied, use percentage equation,

  $\begin{array}{l}a=50\%·14446\\ a=.5·14446\\ a=7223\end{array}$

Total seats occupied in the upper and middle level seats,

  $18726+7223=25949$

Hence, the total number of seats occupied in upper and middle level is 25949