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

A pile of oranges and lemons.

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?

(If you prefer to do this using pounds and ounces go here )