In the rooms with tall mirrors, Sarah saw her reflection a total of 10 reflections * 3 passes = <<10*3=30>>30 times.
In the rooms with wide mirrors, Sarah saw her reflection a total of 5 reflections * 5 passes = <<5*5=25>>25 reflections.
So Sarah saw her reflection a total of 30 + 25 = <<30+25=55>>55 times.
In the rooms with tall mirrors, Ellie saw her reflection a total of 6 reflections * 3 passes = <<6*3=18>>18 times.
In the rooms with wide mirrors, Ellie saw her reflection a total of 3 reflections * 5 passes = <<3*5=15>>15 times.
So Ellie saw her reflection a total of 18 + 15 = <<18+15=33>>33 times.
Therefore, Sarah and Ellie saw their reflections a total of 55 + 33 = <<55+33=88>>88 times.
#### 88