Carcass wrote:
A bakery sold exactly 85% of the cupcakes it baked on Tuesday. Which of the following could be the total number of cupcakes baked on Tuesday ?
(A) 150
(B) 145
(C) 140
(D) 130
(E) 110
Let x = the total number of cupcakes BAKED on Tuesday
So, we can write: 85% of x = the number of cupcakes SOLD on Tuesday
Since 85% = 85/100 = 17/20, we can also write: 17/20 of x = the number of cupcakes SOLD on Tuesday
In other words:
17x/20 = the number of cupcakes SOLD on Tuesday
Since
17x/20 must be an INTEGER, it must be the case that x is
divisible by 20.
Since 140 is the only answer choice that's divisible by 20, the correct answer must be C