Answer:
270 sticky labels
Step-by-step explanation:
Given:
Labels Luke had = 135
Labels Vicente had = 990
Labels Haley had = 570
Let [tex]x[/tex] labels each be given by Haley to Vicente and Luke.
Now, Luke has [tex]135+x[/tex] labels while Vicente has [tex]990+x[/tex] labels.
As per question, Vicente has 4 times as many labels as Luke.
∴ [tex]990+x=4(135+x)\\990+x=540+4x\\990-540=4x-x\\3x=450\\x=150[/tex]
Therefore, number of sticky labels given by Haley each to Vicente and Luke are 150.
Now, total sticky labels given by Haley are [tex]2x=2\times 150=300[/tex].
Sticky labels left with Haley are [tex]570 - 2x = 570 - 300 = 270[/tex]