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Hippos
Essay specific features
Written by:
Vicenta M
Date added:
March 15, 2015
Level:
University
Grade:
A
No of pages / words:
2 / 348
Was viewed:
5324 times
Rating of current essay:
Essay content:
Weight of hippos = A, B, C, D 2) She weighs all possible pairs.(a+b) ,(a+c)
a + d, b + c, b + d, and c + d.
So, based on the pairs of weights that are given in the problem:
We assume that:
a+b = 312 kg
a+c = 356 kg
a+d = 378 kg
b+c = 444 kg
b+d = 466 kg
c+d = ??? kg
By using logic a +b is the lightest combination, a+c is the
Adding the first five equations above:
a+b + a + c + a + d + b + c + b + d = 312 + 356 + 378 +444 + 466
Simplify that:
3a + 3b + 2c + 2d = 1956
Subtracting off the second and third equations twice from the equation directly above this:
3a + 3b + 2c + 2d - 2(a+c) - 2(a+d) = 1956 - 2(356) - 2(378)
Simplify that:
-a + 3b = 488
Adding the first equation:
-a+3b + (a+b) = 488 + 312
Simplify:
4b = 800
Dividing that one by 4:
b = 200 -- we now have our first hippo weight!
Using the very first equation above:
a+b = 312
Plug in the value for "b":
a+200 = 312
a = 112
Using the fourth equation:
b+c = 444
Plug in "b":
200+c = 444
c = 244
Using the fifth equation:
b+d = 466
Plug in "b":
200+d = 466
d = 266
So the individual weights are 112, 200, 244, 266...
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The last pair that broke the scale is 510.
Using this this algebra method was how our group came to get the hippos individual weights and the one that broke the scale.
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