The pen weigh

Peter is playing around with a two-plate scale and finds that the scale stays in equilibrium if one plate is filled with two keys, two coins and three toy soldiers OR one apple, one toy soldier and one lemon, and the other plate with a weight of 100 grams. One coin, one key, one soldier and one plum together weigh 50 grams.
The lemon, the apple and the plum weigh exactly the same as one coin, one key, one soldier and one pen.
How much does the pen weigh?
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Click here for the solution
50 grams.

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