Problema Solution

find the total weight of the boxes of peacans in a shipment of 3lb boxes of pecans and 2lb boxes of walnuts.

(1) there were 24 fewer 2lb boxes of walnuts than 3lb boxes of peacans.

(2) the total weight of the shipment was 462lb.

Answer provided by our tutors

3p + 2w = 462

and

p - 24 = w


3p + 2(p - 24) = 462

3p + 29 - 48 = 462

5p = 462 + 48 = 510

p = 102


3x102 + 2w = 462

306 + 2w = 462

2w = 462 - 306 = 156

w = 78


102 boxes of pecans and 78 boxes of walnuts