Get the answers you've been searching for with IDNLearn.com. Ask anything and receive prompt, well-informed answers from our community of experienced experts.
Sagot :
First, let find the equation for one variable using the given information:
1)There were 24 fewer 2 lb boxes of walnuts than 3 lb boxes of pecans.
Set w for the boxes of walnuts.
Set p for the boxes of pecans.
Then, we can write the next equation:
w= p-24
Now, let's find the weight equation:
2)The total weight of the shipment was 462 lb.
(in a shipment of 3 lb boxes of pecans and 2 lb boxes of walnuts)
Therefore, we can write the next equation:
boxes of walnuts + boxes of pecans = 462 lb
2w + 3p = 462 lb
Replace using the first equation w= p-24
2(p -24)+3p = 462 lb
2p - 48 + 3p = 462 lb
Solve for p:
5p - 48 = 462
5p=462 + 48
5p =510
p = 510/5
p = 102
Hence, there are 102 boxes of pecans
and the total weight of pecans is given by "shipment of 3 lb boxes of pecans"
Then , 3p = 3(102)=306
To find the number of walnuts, replace p on the w equation:
w = p - 24
w= 102 - 24
w=78
There are 78 boxes of walnuts.
The weight is given by 2w = 2(78) =156 lb
Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Thank you for trusting IDNLearn.com. We’re dedicated to providing accurate answers, so visit us again for more solutions.
