SOLUTION: Three penguins, Pesky, Waddles and Tux all went to the Antarctic Amusement Park. The new ride, called the Crevasse, looked very exciting. Unfortunately, there was a weight limit

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Three penguins, Pesky, Waddles and Tux all went to the Antarctic Amusement Park. The new ride, called the Crevasse, looked very exciting. Unfortunately, there was a weight limit      Log On

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Question 660854: Three penguins, Pesky, Waddles and Tux all went to the Antarctic Amusement Park. The new ride, called the Crevasse, looked very exciting. Unfortunately, there was a weight limit of 110 kg for the ride. All three wanted to ride together but weren’t sure if it was safe. Since the scale can only hold 2 penguins at a time, it was very hard for them to figure out the weight of all 3 together. (Being social birds, they didn’t want to get on the scale alone.) Here is what they found:
Pesky and Waddles weighed 80 kg
Pesky and Tux weighed 56 kg
Waddles and Tux weighed 90 kg.
Can they all ride the Crevasse together?

Answer by kevwill(135) About Me  (Show Source):
You can put this solution on YOUR website!
There are several ways to solve this problem (e.g. as a system of linear equations or by substitution). However, since we're not looking for each penguin's individual weight, there is a simple way to do it.
Let p by Pesky's weight, w be Waddle's weight, and t be Tux's weight. Here's what we're given:
p+%2B+w+=+80
p+%2B+t+=+56
w+%2B+t+=+90
Add all three equations together:
p+%2B+w+%2B+p+%2B+t+%2B+w+%2B+t+=+80+%2B+56+%2B+90
2p+%2B+2w+%2B+2t+=+226
2%28p+%2B+w+%2B+t%29+=+226
%282%28p+%2B+w+%2B+t%29%29%2F2+=+226%2F2
p+%2B+w+%2B+t+=+113
So the combined weight of all three penguins is 113 kg. Unfortunately, they can't all ride the Crevasse together.