Ann increased the quantities of all the ingredients in a recipe by 60% she used 80 grams of cheese how much cheese did the recipe require

The original recipe used 100% of the amount of cheese needed.
By increasing 60%, now the recipe is using 160% of the original amount.
Let the original amount be x.
160% of x = 80
160% * x = 80
1.6x = 80
x = 80/1.6
x = 50

The original amount was 50 g.

Check:
Let's add 60% of 50 g to 50 g.
60% * 50 g = 0.6 * 50 = 30 g
50g + 30 g = 80 g
Since by adding 60% of 50 g to 50 g we do get 80 g, out answer above is correct.