Carcass wrote:
When positive integer A is divided by positive integer B, the result is 9.35. Which of the following could be the remainder when A is divided by B ?
(A) 13
(B) 14
(C) 15
(D) 16
(E) 17
Given: A/B = 9.35
So, we can write: A/B = 935/100
So, dividing A by B is the same as dividing 935 by 100
When we do this, we get 9 with remainder 35
Check the answer choice.....not there.
Now what?
We should recognize that we can simplify 935/100 by dividing top and bottom by 5 to get the equivalent fraction 187/20
In other words, we can say A/B = 187/20
So, dividing A by B is the same as dividing 187 by 20
When we do this, we get 9 with remainder 7
Check the answer choice.....not there.
Now what?
When I check the answer choices, I see that B (14) is a multiple of 7
That should give us a hint about another way to express our given fraction.
Take 187/20 and double the top and bottom to get the equivalent fraction 374/40
When we divide 374 by 40, we get remainder 14
DONE!
Answer: B