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

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) (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:

Add all three equations together:

So the combined weight of all three penguins is 113 kg. Unfortunately, they can't all ride the Crevasse together.

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