SOLUTION: eggs have 6 grams of protein and 77 calories Milk has 8 grams of protein and 168 calories to keep alive you must consume 36 grams of protein and 658 calories per day Using Simul

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Question 1152499: eggs have 6 grams of protein and 77 calories
Milk has 8 grams of protein and 168 calories
to keep alive you must consume 36 grams of protein and 658 calories per day
Using Simultaneous equations how many eggs and glasses of milk must you consume each day to stay alive.
Found 3 solutions by MathLover1, Alan3354, MathTherapy:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
eggs have grams of protein and calories:
milk has grams of protein and calories

if the number of eggs is and the number of glasses of milk
eggs have grams=> grams of protein and calories
milk have grams=> grams of protein and calories
to keep alive you must consume grams of protein and calories per day
grams of protein :
.............eq.1
calories :
............eq.2
solve the system:
.............eq.1
............eq.2
----------------------------------------------------------
start with
.............eq.1.....solve for


......eq.1a
substitute in eq.2
............eq.2....solve for




go to eq.1a
......eq.1a, substitute for and solve for




you must consume eggs and glasses of milk each day to stay alive
check:calories



check: proteins





Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
eggs have 6 grams of protein and 77 calories
Milk has 8 grams of protein and 168 calories
to keep alive you must consume 36 grams of protein and 658 calories per day
Using Simultaneous equations how many eggs and glasses of milk must you consume each day to stay alive.
=================
9 or more eggs would be sufficient.
Or 4.5 or more glasses of milk.
Other combinations are possible.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
eggs have 6 grams of protein and 77 calories
Milk has 8 grams of protein and 168 calories
to keep alive you must consume 36 grams of protein and 658 calories per day
Using Simultaneous equations how many eggs and glasses of milk must you consume each day to stay alive.
Now that the other person has written an EXTREMELY CONFUSING and TIME-CONSUMING NOVEL, let me show you the EASY way.



Let number of eggs and glasses of milk be E and M, respectively

Then we get: 6E + 8M = 36 ---- eq (i)

Also, 77E + 168M = 658_____7(11E + 24M) = 7(94)_____11E + 24M = 94 ---- eq (ii)

18E + 24M = 108 ----- Multiplying eq (i) by 3 ------ eq (iii)

7E = 14 ----- Subtracting eq (ii) from eq (iii)

E, or 



3(2) + 4M = 18 ----- Substituting 2 for E in eq (i)

6 + 4M = 18

4M = 12

M, or 

That's IT!! Nothing CONFUSING or COMPLEX! 

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