Chapter 4.3, Problem 71SR

To determine

To find: Whether the section was oversold or not.

Answer to Problem 71SR

The section was oversold by 4 tickets.

Explanation of Solution

Given information:The number of rows 5, 6 and 7 have 60, 68 and 76 seats respectively.

Calculation: Since, the number of rows 5, 6 and 7 have 60, 68 and 76 seats respectively which are in arithmetic progression (AP) having common difference of 8. Therefore, for 4^th, 3^rd, 2^nd and 1^st row can be evaluated as,

Number of rows	Number of seats
4	60-8 = 52
3	52-8 = 44
2	44-8 = 36
1	36-8 = 28

Now, the total number of ticket in all the 7 rows can be evaluated as,

  $\begin{array}{c}\left(\begin{array}{l}\text{Total number of}\\ \text{tickets in 7 rows}\end{array}\right)=28+36+44+52+60+68+76\\ =364\end{array}$

But according to question the total number of tickets sold for the section were 368 which are 4 more.

Hence, the section was oversold by 4 tickets.