In Lewis Carroll's Through The Looking Glass, Tweedledum says to Tweeledee, "The sum of your weight and twice mine is 361 pounds." Then Tweedledee says to Tweedledum, "Contrariwise, the sum of your weight and twice mine is 362 pounds." Find the weight of Tweedledum and Tweedledee.
2007-03-08 13:52:35 · 5 answers · asked by Jamie 4 in Education & Reference ➔ Homework Help
The sum of Tweedledee and tweedle dumb multiplied by 10000 is 1 Mr. Smyth
2007-03-11 11:33:07 · answer #1 · answered by mag48 3 · 0⤊ 0⤋
let tweedledum's weight = x
let tweedledee's weight = y
the first part
y + 2x = 361
the second part
x + 2y = 362
now, isolate for one variable, I chose to isolate for y in both equations
y = 361 - 2x
y = (362 - x)/2
since both equations equal to y, they are equal to each other
361 - 2x = (362 - x)/2
now solve for x
722 - 4x = 362 - x
-3x = -360
x = 120
Now that you have the value of x, plug that value into either equation, doesn't matter you'll still get the same answer and that'll give you the other guys weight
y = 361 - 2x
y = 361 -(2)(120)
y = 121
Therefore
Tweedledum's weight is 120
Tweedledee's weight is 121
The hardest part of these types of questions is setting up the right equations, once you get that down you're home free!
2007-03-08 22:04:23 · answer #2 · answered by Kipper to the CUP! 6 · 1⤊ 0⤋
1) x + 2y = 361
2) 2x + y = 362
multiply 1st by 2 and get
3) 2x+4y = 722
subtract 2nd
4)3y = 360
div by 3
5) y = 120 tweedledum's weight
subtract from 2)
6) 2x = 242
divide by 2
7) x = 121 tweedledee's weight!
2007-03-08 22:05:03 · answer #3 · answered by Gypsy Doctor 4 · 0⤊ 0⤋
Just calculate for the equations
x + 2y = 361
2x + y = 362
2007-03-08 21:57:23 · answer #4 · answered by Anonymous · 0⤊ 1⤋
a + 2b =361
c+ 2 d= 362
2007-03-08 21:58:20 · answer #5 · answered by Carlene W 5 · 1⤊ 2⤋