Sarah used 1/6 of a bottle of shampoo on her dog Sam, and 1/3 of what was left on her dog Fred. How much of the bottle of shampoo did she use on Fred?
A 1/6
B 1/3
C 5/18
D 1/9
Since Sarah used 1/6 of the bottle of shampoo on her dog Sam, the amount left is 1 - 1/6 = 5/6 of the bottle.
Then she used 1/3 of the remaining amount on her dog Fred, which is (1/3) * (5/6) = 5/18 of the bottle.
Therefore, Sarah used 5/18 of the bottle of shampoo on Fred.
The answer is C) 5/18.
To find out how much of the bottle of shampoo Sarah used on Fred, we first need to find out how much shampoo was left after using 1/6 for Sam.
Let's assume the total amount of shampoo in the bottle is represented by "x".
Sarah used 1/6 of the bottle for Sam, leaving (1 - 1/6) or 5/6 of the bottle remaining.
Now, Sarah used 1/3 of what was left on Fred. Since 5/6 is what was left, we can calculate how much shampoo Sarah used on Fred as follows:
(1/3) * (5/6) = (5/18)
Therefore, Sarah used 5/18 of the bottle of shampoo on Fred.
So, the correct answer is C) 5/18.
To find out how much of the bottle of shampoo Sarah used on Fred, we first need to determine how much shampoo was left after she used 1/6 on Sam.
Let's denote the total amount of shampoo in the bottle as "x".
Sarah used 1/6 of the shampoo on Sam, so the amount of shampoo left in the bottle after using it on Sam is:
x - (1/6)x = (5/6)x
Now, Sarah uses 1/3 of what was left on Fred. So, the amount of shampoo used on Fred is:
(1/3)(5/6)x = (5/18)x
Therefore, Sarah used 5/18 of the bottle of shampoo on Fred.
So, the correct answer is option C) 5/18