SOLUTION: Hi I am trying to help my son with his algebra and we are stumped on this one: It is under the heading of Using charts to solve equations. The one that is giving us a problem is:

Algebra ->  Equations -> SOLUTION: Hi I am trying to help my son with his algebra and we are stumped on this one: It is under the heading of Using charts to solve equations. The one that is giving us a problem is:       Log On


   

Question 23150: Hi I am trying to help my son with his algebra and we are stumped on this one:
It is under the heading of Using charts to solve equations. The one that is giving us a problem is:
Find the total weight of the boxes of pecans on a shipment of 3lb boxes of pecans and 2 lb boxes of walnuts.
(1) There were 24 fewer 2lb boxes of walnuts then 3lb boxes of pecan.
(2) The total weight of the shipment was 462lb.
I would really appreciate any help with this that you can give thank-you.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let number of 3 lb boxes be "x"
Then number od 2 lb boxes is "x-24"
Weight of 3 lb boxes is (3)x lbs
Weight of 2 lb boxes is (2)(x-24) = 2x-48 lbs
EQUATION:
Weight of 3 lb boxes + Weight of 2 lb boxes is 462 lbs
3x + 2x-48 = 462
5x = 510
x = 102 (number of 3 lb. boxes)
x-24 = 78 (number of 2 lb. boxes)
Cheers,
Stan H.