...if its one kilo and half of itself then...
This way of phrasing it inspired me to come up with another way of explaining why the answer is 2 kilos. I know why mathematically the algebraic solution works but like our infinite weight suggestion implies, perspective can change ones own truths. I shal try to explain this through a deductive reasoning as opposed to algebraic or Boolean expressions lol.
OK, here goes…now sit down, buckle up and pipe down lol…this is going to be bumpy :-D
One brick is one kilogram and half a brick heavy. What is the weight of one brick?
(a brick weighs 1 kilo and a half a brick) We know the brick weighs a minimum of 1 kilo right? And each half must weigh at least 1/2 kilo, right? So the minimum weight based on the information must be 1.5 kilos. It is impossible to have it any less than that.
But if the brick weighs a minimum, how do we figure out what the maximum is? We can work backwards using an arbitary answer to get some perspective and answer some questions. (Sometimes it helps to know an answer as to be able to ask the right questions even if the answer is wrong)
Take a brick that is 201 kilos. That is 200 + 1 kilo. A half of this brick is 100.5 kilos right? The problems states the weight is 1 kilo + half a brick. In this case half a brick is 100.5 + 1 and equals 101.5 This does not equal our arbitrary weight of 201 . So the brick at this point does not weight 201 for sure. You could try this with any other numbers and quickly you will see that the number seem to make more sense when they get smaller. So let’s try something smaller
Take a brick that is 4 kilos. (even number this time, much smaller). Half of this brick is 2 kilos right? The problems states the weight is 1 kilo + half a brick. In this case 2 + 1 equals 3 (oh so close but not quite) This does not match our entire weight. Aww..so sad. So needless to say we got closer the the numbers matching as they should but the brick does not weigh 4 kilos. Sorry , please play again !!.
Since 4 kilos was close and we know that the brick must weigh at least 1.5 kilos lets go a notch above that and make it 2 and see what happens. Take a brick that is 2 kilos. A half of this brick is 1 kilo right? (hehe see it coming yet?) The problems states the weight is 1 kilo + half a brick. In this case 1 kilos + 1 kilo equals 2 !! This fits our scenario perfectly. OMG DING DING DING DING DING YOU HAVE WON A TRIP TO THE FABULOUS ISLAND OF….. sike hehe.
Ok, guess that is all . I hope you had as much fun reading this as I had writing it. So many colors and textures in life to explore. I hope you all find time for yourselves to do just that.
Live in the NOW.