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Essay

Hippos

Essay specific features

 

Issue:

Science

 

Written by:

Vicenta M

 

Date added:

March 15, 2015

 

Level:

University

 

Grade:

A

 

No of pages / words:

2 / 348

 

Was viewed:

5333 times

 

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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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