Question 1197109
vip seating reserved seating and general admission tickets were sold for the school play at $15 $10 and 5$ each respectively the drama department sold 360 tickets for a total of $2800 if there were 40 more general admission tickets than the total number of vip and reserved tickets how many of each type of ticket were sold
<pre>Keep it SIMPLE as possible.

Let number of VIP and reserved tickets sold, be V and R, respectively
Then number of general-admission tickets sold = V + R + 40
We then get: V + R + (V + R + 40) = 360____2V + 2R = 320_____2(V + R) = 2(160)____V + R = 160 ----- eq (i)
Also, 15V + 10R + 5(V + R + 40) = 2,800_____20V + 15R = 2,600____5(4V + 3R) = 5(520)____4V + 3R = 520 ----- eq (ii)
                                                                               3V + 3R = 480 ----- Multiplying eq (i) by 3 ----- eq (iii)
                                                                                V = 520 - 480 ----- Subtracting eq (iii) from eq (ii)
                                           <font color = red><font size = 4><b>Number of VIP tickets sold</font></font></b>, or V = <font color = red><font size = 4><b>40</font></font></b>

                                                                           40 + R = 160 ----- Substituting 40 for V in eq (i)
                                                                                R = 160 - 40
                                     <font color = red><font size = 4><b>Number of reserved tickets sold</font></font></b>, or R = <font color = red><font size = 4><b>120</font></font></b>

<font color = red><font size = 4><b>Number of general-admission tickets sold:</font></font></b> V + R + 40 = 40 + 120 + 40, or 360 - (40 + 120) = <font color = red><font size = 4><b>200</font></font></b></pre>