00:00If 57 lira is divided into 3 parts such that it is directly proportional to 4 and 5 and inversely proportional to 2, what is the price of the smallest part?
00:05Our question asks if the price will be in Turkish Lira.
00:06Friends, we have 57 lira.
00:08So, you separate it into 3 parts, like ABC.
00:10A plus B plus C.
00:12Now, he says that's correct with numbers 4 and 5.
00:14Let our part A be correct with the value 4.
00:20Let's assume part B is correct with the number 5.
00:23Let's also make our C inversely proportional to 2.
00:25That's the proportionality constant, K.
00:27A equals 4 times K, B equals 5 times K, C equals... what do we become, friends?
00:35We find it as K divided by 2.
00:36If the total is 57 lira, then 4K plus 5K plus K divided by 2.
00:44This makes it 9K.
00:469, 18, 1 of 19.
00:4819K divided by 2.
00:50Simplify 1 to 3.
00:52We find the multiplication of the product to be 6.
00:54My friends were asking us about the smallest piece.
00:56Which is the smallest piece here?
00:58Now the largest piece is 24.
01:00This is the 30th one.
01:01We find the answer to be 3 here as well.
01:03So the smallest piece is 3.
01:04The answer is Denizli.
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