The math scam - By tecmath
Transcript
00:0-1 | Good day and welcome to Tech Mouth channel . I'm | |
00:01 | josh . This problem is stumped . A lot of | |
00:03 | people see if you can solve it . Three men | |
00:05 | go into a store and buy radio for which the | |
00:08 | clerk charges them $300 . Let's put the cost . | |
00:11 | And so each man pays $100 each and then the | |
00:13 | men take the radio and they leave . Later , | |
00:16 | the manager tells the clerk that he's overcharged the men | |
00:19 | and that the actual cost of the radio should have | |
00:21 | only been $250 . He gives the clerk $50 and | |
00:25 | tells him to take it back to the men . | |
00:27 | So on the way to returning the money , the | |
00:28 | clerk decides to cheat the man and he pockets $20 | |
00:31 | of the 50 returning $10 to each of the men | |
00:34 | . So here's our problem . Each of the three | |
00:36 | men paid $90 . That's $100 . Take away the | |
00:39 | $10 have got returned And three times 90 is equal | |
00:43 | to 270 plus . There's $20 at the clerk kept | |
00:46 | . 270 plus , $20 is equal to $290 . | |
00:50 | They paid $300 originally . Where did the other $10 | |
00:54 | go , pause this video of your life to get | |
00:56 | this problem and try and when you're ready to see | |
00:58 | how to solve it , started up again . So | |
01:10 | time's up the German to solve it or you couldn't | |
01:12 | work it out . Maybe . Anyway , here's a | |
01:14 | solution . What happened to the other $10 . So | |
01:17 | there are two ways that we can account for where | |
01:18 | the money is gone . The first way , let's | |
01:20 | start with the $300 that the men originally spent . | |
01:24 | So of this $250 went towards the radio . The | |
01:28 | clerk he pocketed $20 and each of the men got | |
01:32 | $10 . So that's $30 . And if we add | |
01:35 | all this together , 250 plus 20 plus 30 . | |
01:38 | Well , this actually adds up to 300 . No | |
01:41 | problem there . Right . The second way we can | |
01:43 | account for the money is by looking at the $270 | |
01:46 | . The men actually spent three times 90 . So | |
01:49 | of this $250 went to the radio Into the till | |
01:54 | of the person who sold the radio and $20 went | |
01:57 | to the Dodgy clerk who stole the money . 250 | |
02:00 | plus 20 . Once again , no problem . This | |
02:02 | adds up to $270 . So what's the problem with | |
02:06 | this ? Missing $10 . So let's go back to | |
02:08 | the original problem that said the three men paid $90 | |
02:11 | each , three times 90 is equal to 270 plus | |
02:14 | $20 . A clerk pocketed equals $290 . The problem | |
02:19 | that we have is this part here with that little | |
02:21 | phrase plus $20 at the clerk took and this is | |
02:24 | deceptive because this should not be added . It should | |
02:27 | be subtracted since the $20 at the clerk took is | |
02:30 | part of the original 270 here . So 270 take | |
02:35 | away 20 . Our answer would indeed be 250 which | |
02:39 | was the price of the radio . So there is | |
02:42 | no missing money . So another deceptive question , Right | |
02:45 | ? You guys are never gonna trust me again . | |
02:46 | Thanks to poor er Yeah , I'm shitty for sending | |
02:48 | me this particular question . I hope I did it | |
02:51 | justice anyway . As usual , thank you for watching | |
02:53 | the tech Math channel . Be sure if you like | |
02:55 | this video to give me a big thumbs up and | |
02:57 | subscribe if your maths coming at you every single week | |
02:59 | from me . Anyway , take care and stay well | |
03:02 | see you next time . Bye . |
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