A sugar container has x cups of sugar. 1/5 cup of sugar is removed from the recipe leaving 2/3 cups. How much sugar was in the container to begin with?

The amount of sugar in the container originally was 13/15 cups

Step-by-step explanation:

Since the original amount of sugar in the container = x

Subtracting the amount of sugar removed;;

x - 1/5 = 2/3

x = 2/3 + 1/5

Finding the lowest common multiple of the denominators 3 and 5

LCM = 3 × 5 = 15

Combining the two fractions;

x = 2/3 + 1/5 = (2*5 + 1*3)/15

x = (10 + 3)/15

x = 13/15

Therefore, the amount of sugar in the container originally was 13/15 cups