Dry laundry contains 8% water, after washing in a washing machine, the laundry contains 20% water.

Dry laundry contains 8% water, after washing in a washing machine, the laundry contains 20% water. How many kg of dry laundry was loaded if after washing it turned out to be 4.6 kg

If dry linen contains 8% water, then dry matter (completely, completely without water) in it is 92% = 0.92. For wet laundry: 20% water, which means 80% = 0.8 dry matter. It is the dry matter that does not change over time, therefore it is on it that you need to keep records.

After washing, we received 4.6 kg of laundry, dry matter in it:

1) 4.6 • 0.8 = 3.68 (kg) – dry matter in the laundry after washing.

The same amount, 3.68 kg of dry matter in dry laundry, and this is 92% of all dry laundry:

2) 3.68: 0.92 = 4 (kg).

Answer: 4 kg of laundry was loaded into the washing machine.