Amar baked a cake. John ate 1/6 of the cake. Susan ate 1/5 of what was left. Chan ate 1/4 of what was left after that. Cindy ate 1/3 of what was left after that. Luigi ate 1/2 of what was left after that. How much of the original cake was left?

1/6 of the original cake was left

Step-by-step explanation:

Let

x ----> complete cake

we know that

1) John ate 1/6 of the cake

so

The remaining cake is equal to

2) Susan ate 1/5 of what was left

so

The remaining cake is equal to

3) Chan ate 1/4 of what was left after that

so

The remaining cake is equal to

4) Cindy ate 1/3 of what was left after that

so

The remaining cake is equal to

5) Luigi ate 1/2 of what was left after that

so

The remaining cake is equal to

therefore

1/6 of the original cake was left