Challenge Level

On the table there is a pile of oranges and lemons that weighs exactly one kilogram.

The oranges all weigh $130$ grams. The lemons are also all the same weight, which is less than $\frac{2}{3}$ of the weight of an orange.

There are twice as many lemons as oranges in the pile.

How many lemons are there and how much does each one weigh?

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