When Luisa takes out two apples from the bag, 7 apples - 2 apples = <<7-2=5>>5 apples remain in the bag.
She also takes 2 apples * 2 oranges/apple = <<2*2=4>>4 oranges from the bag.
The total number of oranges remaining in the bag is 8 oranges - 4 oranges = <<8-4=4>>4 oranges
Additionally, a total of 2/3 * 15 mangoes = <<2/3*15=10>>10 mangoes are also removed from the bag.
The total number of mangoes remaining in the bag is 15 mangoes - 10 mangoes = <<15-10=5>>5 mangoes.
The total number of fruits that Luisa left in the bag is 5 apples + 4 oranges + 5 mangoes = <<5+4+5=14>>14
#### 14