"Tweedledum says: the sum of your weight and twice mine is 361 lbs.
Tweedledee says: contrariwise, the sum of your weight and twice mine is 362 lbs
if both are right how much do they weigh together?"
i got this part, but the next part i can't figure out:
"find tweedledum's and tweedledee's weights in problem 1."
please help,
melanii
Let W1 be Tweedledee's weight
W2 + 2W1 = 361
W1 + 2W2 = 362
---------------Double the last equation
2W1 + 4W2 = 724
Subtract the first equation from that
3W2 = 363
W2 = 121
W1 = 362 -2W2 = 120
i know, i got the first part! just the bottom part.
srry that was me above
Hey Melanii (nooni)! :-) It's me! Anyway, I figured this one out.
Well, drwls actually did tell you what you were looking for... their weights.
Tweedledee will weigh 121 pounds and Tweedledum will weigh 120 pounds.
Here are the two equations as our teacher showed us:
e + 2m = 361
m + 2e = 362
You can multiply the first one by -2, which makes it be
-4m -2e = 722
+
m + 2e = 362
-3m = 1084
Divided by -2, that makes m = 120.
Then you do e + 240 = 361 and you get e= 121
Do you get it? Hope I helped! :-)
no. i thought that is what their weights together were!!!??? :)
Oh, okay. Do you understand now?
120 + 121 is the combined weight
Hey, this helped me with my extra credit. Thanks :-)
To find the weights of Tweedledum and Tweedledee individually, we can set up a system of equations based on the information given.
Let's assume Tweedledum's weight is represented by "x" pounds, and Tweedledee's weight is represented by "y" pounds.
From the information given by Tweedledum's statement, we can create the equation:
x + 2y = 361
Similarly, from Tweedledee's statement, we can create the equation:
x + 2y = 362
We have a system of two equations with two variables. To solve this system, we can use a method called substitution or elimination.
Let's solve it using the elimination method:
We subtract the first equation from the second equation:
(x + 2y) - (x + 2y) = 362 - 361
0 = 1
Uh-oh! We obtained an inconsistent result. This means that the two statements contradict each other, and there is no solution where both Tweedledum and Tweedledee are correct simultaneously.
Therefore, there seems to be an error or inconsistency in the problem statement. It's not possible to find Tweedledum's and Tweedledee's weights based on the information given.