SOLUTION: Find the total weight of the boxes of pecans. There are 24 fewer boxes of 2lb boxes of walnuts than 3lb boxes of pecans. The total weight of all boxes is 462lbs.

Algebra ->  Test -> SOLUTION: Find the total weight of the boxes of pecans. There are 24 fewer boxes of 2lb boxes of walnuts than 3lb boxes of pecans. The total weight of all boxes is 462lbs.      Log On


   

Question 367634: Find the total weight of the boxes of pecans. There are 24 fewer boxes of 2lb boxes of walnuts than 3lb boxes of pecans. The total weight of all boxes is 462lbs.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi, 

Let x represent number of 3 lb boxes of pecans

then (x-24) would represent the number of 2 lb boxes walnuts

question states:

3lb*x + 2lb(x-24) = 462lbs

5x - 48 = 462lbs

5x = 510lbs

x = 102, the number of 3 lb boxes of pecans 

102*3lb = 306lb would be the total weight of  the boxes of pecans



checking our answer

3*102 + 2 *78 =306 + 156 =  462 lbx