Adiscount bottle of perfume was 1/6 of a liter. that was enough to fill 1/10 of a jug. how many bottles of perfume would you need to fill the entire jug?

Since 1/6 of a liter fills 1/10 of the jug, you need to do:
1/6*10.When you multiply the numerators and denominators you get 10/6 or 5/3 or 1 2/3 liters

Hope this helps