"Tweedledum says: the sum of your weight and twice mine is 361 lbs.

Question

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

Answer 1

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

Answer 2

i know, i got the first part! just the bottom part.

Answer 3

srry that was me above

Answer 4

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! :-)

Answer 5

no. i thought that is what their weights together were!!!??? :)

Answer 6

Oh, okay. Do you understand now?

Answer 7

120 + 121 is the combined weight

Answer 8

Hey, this helped me with my extra credit. Thanks :-)