Let total estate be 180
Each of 5 children + All Grandchildren's share are equal. SO we need to split this 180 into 6 equal parts - one each for 5 children and 1 part for 6 Grandchildren.
Each share will be 180 / 6 = 30
Now Grandchildren's share of 30 will be divided equally between 6 grandchildren so each Grandchild will receive 30/6 = 5
Now 5 is what % of 180?
(5 * 100) / 180 = 2.8%

Ans E

guerrero wrote:Mr. Evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children. If Mr. Evans has 5 children and 6 grandchildren, then approximately what percentage of Mr. Evans estate will each grandchild receive?


(A) 20%
(B) 17%
(C) 4.0%
(D) 3.3%
(E) 2.8%

OA E

Let the amount per grandchild = 1.
Total for the 6 grandchildren = 6*1 = 6.
Since the amount per child is equal to the TOTAL amount split among the 6 grandchildren, the amount per child = 6.
Total for the 5 children = 5*6 = 30.
Thus:
Percent per grandchild = (amount per grandchild)/(total estate) * 100 = 1/(6+30) * 100 = 100/36 = 25/9 ≈ 2.8.

The correct answer is E.

You can solve this problem by either plugging in values or by using algebra. I've used algebra, because I'm not all that comfortable with plugins.

Explanation:

We have 5 children and 6 grandchildren.

Now assume each child gets an 'x' share. Therefore, 5 children will get a share of '5x'

Similarly, 6 grandchildren will get a share of '6y'

However, the problem tells us that the total share of the 6 grandchildren is equal to the share of one child. So, 6y = x OR y=(x/6)

So, our total estate share is = 5x (For the five children) + x (For the 6 grandchildren) = 6x
Now we need to find out the %age that each grandchild receives.

Here's our formula: (Each grandchild's share/ Total share) x 100

=> (x/6)/6x x 100 = 100/36 which approximately comes to 2.8&
Answer is E