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March 27, 2015

Posted by **Mary** on Friday, November 28, 2008 at 5:51am.

- Ratio -
**Reiny**, Friday, November 28, 2008 at 11:23amlet the number of marbles be as follows:

Box1 x

Box3 y

Box2 129-x-y

after the described action

box1 = x/3 (you took 2/3 away, so 1/3 remains)

box2 = 129-x-y + 15 = 144-x-y

box3 = 3y

then (x/3) : 144-x-y : 3y = 2:3:9

so then (x/3)/(144-x-y) = 2/3

.

.

3x + 2y = 288 (equ#1)

also (x/3)/3y = 2/9

.

.

x = 2y (equ#2) sub that into equ#1 to get

y = 36

then x = 72

check:

original

box1 72

box2 21

box3 36 --- total 129

after action:

box1 = 24

box2 = 36

box3 = 108

24:36:108 = 2:3:9

- Ratio -
**drwls**, Friday, November 28, 2008 at 11:33amAfter: 24:36:108 (total 168)

Before: 72:21:36 (total 129)

Method used: trial and error

Start with "after" combinations with the right ratios, determine the required operations and "before" compositions, and see which one adds up to 129 "after".

It only took three attempts.

- Ratio -
**benny**, Tuesday, July 3, 2012 at 5:49pmsimply just wat is says above 168

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