SOLUTION: A snake can lay either white eggs or brown eggs. Three white eggs and two brown eggs weigh 13 grams, while five white eggs and four brown eggs weigh 24 grams. Find the weight of a

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: A snake can lay either white eggs or brown eggs. Three white eggs and two brown eggs weigh 13 grams, while five white eggs and four brown eggs weigh 24 grams. Find the weight of a       Log On


   

Question 151013: A snake can lay either white eggs or brown eggs. Three white eggs and two brown eggs weigh 13 grams, while five white eggs and four brown eggs weigh 24 grams. Find the weight of a brown egg and a white egg.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
Remember: W= white eggs; B= brown eggs
1st condtn.
3W%2B2B=13+grams
2nd condtn.
5W%2B4B=24grams
In 1st condtn. we get B=%2813-3W%29%2F2 and substitute in 2nd condition:
Continuing,
5W%2Bcross%284%292%2813-3W%29%2Fcross%282%29=24
5W%2B26-6W=24
26-24=6W-5W ------------> W=2grams,
and in condtn 1: ----------> %283%2A2%29%2B2B=13grams ---> B=3.5grams
To check, we pick condtn 2 this time:
%285%2A2%29+%2B+%284%2A3.5%29+=+24grams
10%2B14=24grams
24grams=24grams, cool!
Thank you,
Jojo