Adam baked a cake, John ate 1/6of a cake. Susan ate 1/5of what was left. How much of the original cake was left?
John ate 1/6of a cake ... so 5/6 was left
Susan ate 1/5of 5/6 ... so 2/6 of the cake has been eaten
thanks for the help Scott
To find out how much of the original cake was left, we need to subtract the amount that John and Susan ate from the whole cake.
First, let's calculate the amount that John ate, which is 1/6 of the cake. To do this, we divide the whole cake into 6 equal parts and take 1 part:
1/6 of the cake = 1/6 * 1 = 1/6
Next, we need to find out what was left after John ate his portion. This can be calculated by subtracting what John ate from the whole cake. So,
Amount left after John ate = 1 - 1/6 = 5/6
Now, we need to calculate the amount that Susan ate, which is 1/5 of what was left. To find this, we multiply the amount left after John ate by 1/5:
1/5 of (amount left after John ate) = 1/5 * (5/6) = 5/30 = 1/6
Finally, we can determine the amount of the original cake that was left by subtracting what Susan ate from the amount left after John ate:
Amount of original cake left = (amount left after John ate) - (amount Susan ate)
= (5/6) - (1/6)
= 4/6
= 2/3
Therefore, 2/3 of the original cake was left.