Answer:
AJ picks 252 pounds
Step-by-step explanation:
Lets define the following letters for each name:
A is AJ
B is Blaze
L is Laurence
J is Jack
Now we will analyze the phrases one by one:
Blaze picks three times as many as Laurence means:

Jack picks twice as many as Blaze.
, ans using the previous one lets substitute B with 3 * L


Aj picks three times as many as Laurence.

The total weight of the oranges is 1092 pounds.

We replace A, B & J in the last equation, with the previous results:

, grouping using L as common factor:

, then isolating L:

pounds (for Laurence)
Finally replacing L in the previous equations:
pounds (for Aj)
pounds (for Blaze)
pounds (for Jack)