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

Answer: 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.

80g : 160 = Xg : 100

Xg = (80g * 100) / 160