yptee wrote:
Oppolo wrote:
Remember to consider that marbles are round, so they'd sink into each other a little bit.
The question actually said height of each level is 2 cm, so this is irrelevant. I got an answer betweeen 400-500 cm too.
I agree with yptee, the sinking is need not be taken into consideration. And I got a similar range of answer to him.
Hint:
If there are 4 rows, total number of marbles should be 1 + (1+2) + (1+2+3) + (1+2+3+4).
Objective is to find the number of rows, but u gotta use number of marbles to help u.
Eg, if there are only 10 kikos, there are 20 marbles, that means they can only stack up to 4 rows, meaning it would be 4 x 2 = 8 cm high
I tried to solve it by using a double summation at first, summation of the first n terms followed by the summation of that result from 1 to m. In other words, a summation (from 1 to m) of the summation of the first n terms. This answer must be less than or equal to the number of (kikos x 2). From there, solve the cubic equation and find the nearest integer m that satisfies the inequality.
Haha... Anyone even understand what I'm saying? Graduated with a degree in maths, but honest, u don't really need university knowledge of maths to do this. High School is enough.
On a last note, I tried using summation as mentioned earlier, but I couldn't solve the cubic equation because the number was too big. Neither did I use any maths algebraic software to help me with it. I simply took the advice of one of the hints earlier to help me out.