Chapter 11.3, Problem 63STP

To determine

Whether her statement is true or no.

Answer to Problem 63STP

  $Gy+2x=2$

Explanation of Solution

Given:

A theatre has 18 rows of seats and each row has 28 seats. Tickets cost $4 for adults and $2.50 for children. The Friday night show was sold out and the revenue from ticket sales was $1935. Barbara says that 445 adults were at the show.

Calculation:

In theatre total rows are 18 and each row has 28 seats, so the total number of seats in the theatre is $18\times 28=504$ .

Barbara says that 445 adults were there at the show, so the number of children in the show would be $504-445=59$ .

So, the total revenue from the sale of tickets would be

  $\begin{array}{l}445\times 4+59\times 2.50\\ =1780+147.5\\ =1927.5\end{array}$

But the actual revenue from the sale of tickets was $1935.

Thus, her statement is not reasonable.