SOLUTION: Find the total weight of the boxes of pecans in a shipment of 3 lb boxes of pecans and 2lbs boxes of walnuts. 1)there were 24 fewer 2 lb boxes of walnut than 3 lb boxes of pecans

Question 358256: Find the total weight of the boxes of pecans in a shipment of 3 lb boxes of pecans and 2lbs boxes of walnuts.
1)there were 24 fewer 2 lb boxes of walnut than 3 lb boxes of pecans.
2)the total weight of the shipment was 462 lbs.

tried: 3n + 2(n-24)=462; 3n +2n-48=462;5n -48 +48=462-48=414; 5n=414=82.8
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the total weight of the boxes of pecans in a shipment of 3 lb boxes of pecans and 2lbs boxes of walnuts.
1)there were 24 fewer 2 lb boxes of walnut than 3 lb boxes of pecans.
---
Quantity Equation: w = p -24
2)the total weight of the shipment was 462 lbs
Weight Equation:
2w + 3p = 462 lbs
---
2(p-24) + 3p = 462
2p-48 + 3p = 462
5p = 510
p = 102 (# of boxes of pecans)
----
Since w = p-24, w = 102-24 = 78 (# of boxes of walnuts)
========================
Cheers,
Stan H.
RELATED QUESTIONS
Find the total weight of the boxes of pecans in a shipment of 3 pound boxes of pecans and (answered by checkley77)

Find the total weight of the boxes of pecans. There are 24 fewer boxes of 2lb boxes of... (answered by ewatrrr)

Hi I am trying to help my son with his algebra and we are stumped on this one: It is... (answered by stanbon)

For a fund raiser, the sixth grade boxed 5 pounds of pecans. If each box weighed 1/3 of a (answered by rfer)

a box of walnuts mixed with pecans costs 15.75. walnuts cost 3.75/lb and pecans cost... (answered by stanbon)

A truck is loaded with boxes of two different weights. Some of the boxes weigh 6.23 kg... (answered by mananth)

A truck loaded with boxes if two different weights. Some of the boxes weigh 6.58kg each... (answered by josmiceli)

A delivery truck is transporting boxes of two sizes: large and small. The large boxes... (answered by edjones)