Question

AJ, Blaze, Laurence, and Jack pick oranges. Blaze picks three times as many as Laurence. Jack picks twice as many as Blaze. Aj picks three times as many as Laurence. The total weight of the oranges is 1092 pounds. How many pounds does AJ pick?

Answer 1

Answer: 252 pounds.

Explanation:

Let be "b" the amount of pounds Blaze picks, "j" the amount of pounds Jack picks, "l" the amount of pounds Laurence picks and "a" the amount of pounds AJ picks.

Based on the information provided, we know that:

`b=3l\\\\ j=2b\\\\ a=3l`

Substitute the first equation into the second one:

`j=2(3l)\\\\j=6l`

Since the total weight of the oranges is 1092 pounds, we can write the following expression and solve for "l". Then:

`b+j+a+l= 1092\\\\3l+6l+3l+l=1092\\\\13l=1092\\\\l=84`

Finally, substituting this value into the equation
`a=3l`, we get :

`a=3(84)\\\\a=252`