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Eğitmen, şekerli su, tuz-şeker karışımı, kum-çimento karışımı, limonata ve altın ayarları gibi çeşitli örnekler üzerinden denklem kurma ve çözme tekniklerini göstermektedir. Video, basit sorularla başlayıp daha karmaşık problemlere doğru ilerlemektedir.","Eğitmen, karışım problemlerini bitirdikten sonra gelecek planlarını paylaşıyor. Karışım problemlerini bitirdikten sonra hareket problemleri, grafik problemleri, sayısal yetenek problemleri ve TYT özel problemler gibi konuları ele alacağını belirtiyor. Ayrıca öğrencilere orta düzey ve üst düzey soru bankalarını çözmelerini tavsiye ediyor ve bu kampın öğrencilere 15-20 net bandına yerleştireceğini, geometri dahil edildiğinde 20-22 net bandına, daha üst düzey sorularla 30-33 net bandına ulaşabileceklerini açıklıyor."]},"endTime":2260,"title":"Karışım Problemleri Matematik Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Karışım Problemlerine Giriş","list":{"type":"unordered","items":["Kampın 46. gününde karışım problemlerine geçiş yapılıyor.","Karışım problemlerinde ufak nüanslara dikkat edildiğinde zorlanılmayacak.","Karışım problemlerinde hangi maddeyi belirlersek sürekli o madde üzerinden işlem yaparız."]},"beginTime":0,"endTime":47,"href":"/video/preview/6467318649759610338?channelId=d3d3LnlvdXR1YmUuY29tO1VDdTJTNjdNbjM3cGZqQTBLLUpjdGNHUQ%3D%3D&how=tm&parent-reqid=1751633810870405-11498193565754305973-balancer-l7leveler-kubr-yp-klg-250-BAL&text=Sefer+Hoca&t=0&ask_summarization=1"},{"index":1,"title":"Karışım Problemlerinin Temel Kavramları","list":{"type":"unordered","items":["Karışım problemlerinde bir karışımın içindeki bir maddenin oranı hesaplanır.","Karışımın toplam miktarı ve içindeki maddelerin miktarları ve oranları belirlenir.","Karışım problemlerinde hangi maddeyi belirlersek her şeyi o madde üzerinden yazmalıyız."]},"beginTime":47,"endTime":99,"href":"/video/preview/6467318649759610338?channelId=d3d3LnlvdXR1YmUuY29tO1VDdTJTNjdNbjM3cGZqQTBLLUpjdGNHUQ%3D%3D&how=tm&parent-reqid=1751633810870405-11498193565754305973-balancer-l7leveler-kubr-yp-klg-250-BAL&text=Sefer+Hoca&t=47&ask_summarization=1"},{"index":2,"title":"İlk Karışım Problemi","list":{"type":"unordered","items":["120 gram şekerli su karışımında şeker yüzdesi %20 olduğuna göre şeker miktarı 24 gramdır.","Karışım problemlerinde oranları hesaplamak için kilogramları toplamak gerekir.","Karışım problemlerinde oranları direkt toplamak yerine, toplam miktarı ve oranları kullanarak yeni oran bulunur."]},"beginTime":99,"endTime":238,"href":"/video/preview/6467318649759610338?channelId=d3d3LnlvdXR1YmUuY29tO1VDdTJTNjdNbjM3cGZqQTBLLUpjdGNHUQ%3D%3D&how=tm&parent-reqid=1751633810870405-11498193565754305973-balancer-l7leveler-kubr-yp-klg-250-BAL&text=Sefer+Hoca&t=99&ask_summarization=1"},{"index":3,"title":"İkinci Karışım Problemi","list":{"type":"unordered","items":["200 gramlık bir kum-çimento karışımında 15 kg çimento, 250 kg'lık bir kum-çimento karışımında 30 kg çimento olur.","İki karışım karıştırıldığında elde edilen yeni karışımın çimento oranı %10'dur.","Karışım problemlerinde oranları hesaplamak için kilogramları toplamak gerekir."]},"beginTime":238,"endTime":429,"href":"/video/preview/6467318649759610338?channelId=d3d3LnlvdXR1YmUuY29tO1VDdTJTNjdNbjM3cGZqQTBLLUpjdGNHUQ%3D%3D&how=tm&parent-reqid=1751633810870405-11498193565754305973-balancer-l7leveler-kubr-yp-klg-250-BAL&text=Sefer+Hoca&t=238&ask_summarization=1"},{"index":4,"title":"Üçüncü Karışım Problemi","list":{"type":"unordered","items":["Şeker oranı %6 olan 20 litrelik bir limonatanın şeker oranı %5'e düşürmek için karışıma 4 litre su ilave edilmelidir.","Karışım problemlerinde şeker oranı üzerinden veya su oranı üzerinden çözüm yapılabilir.","Karışım problemlerinde oranları hesaplamak için kilogramları toplamak gerekir."]},"beginTime":429,"endTime":635,"href":"/video/preview/6467318649759610338?channelId=d3d3LnlvdXR1YmUuY29tO1VDdTJTNjdNbjM3cGZqQTBLLUpjdGNHUQ%3D%3D&how=tm&parent-reqid=1751633810870405-11498193565754305973-balancer-l7leveler-kubr-yp-klg-250-BAL&text=Sefer+Hoca&t=429&ask_summarization=1"},{"index":5,"title":"Karışım Problemleri Çözümü","list":{"type":"unordered","items":["Bir karışım probleminde, x değeri 4 olarak bulunmuş ve bu da 4 litre su eklenmesi gerektiğini gösteriyor.","Karışım problemlerinde bazen şekerden gitmek, bazen sudan gitmek daha kolay olabilir."]},"beginTime":636,"endTime":719,"href":"/video/preview/6467318649759610338?channelId=d3d3LnlvdXR1YmUuY29tO1VDdTJTNjdNbjM3cGZqQTBLLUpjdGNHUQ%3D%3D&how=tm&parent-reqid=1751633810870405-11498193565754305973-balancer-l7leveler-kubr-yp-klg-250-BAL&text=Sefer+Hoca&t=636&ask_summarization=1"},{"index":6,"title":"A ve B Maddeleri Oranı Problemi","list":{"type":"unordered","items":["Bir karışımdaki A maddesinin B maddesine oranı 1/4 olduğunda, A maddesinin içinde k kadar varsa B maddesinin içinde 4k kadar vardır.","Karışıma 20 gram A maddesi eklendiğinde B maddesinin karışımdaki yüzdesi %60 oluyor.","Başlangıçta 12 gram A maddesi olduğu bulunmuştur."]},"beginTime":719,"endTime":824,"href":"/video/preview/6467318649759610338?channelId=d3d3LnlvdXR1YmUuY29tO1VDdTJTNjdNbjM3cGZqQTBLLUpjdGNHUQ%3D%3D&how=tm&parent-reqid=1751633810870405-11498193565754305973-balancer-l7leveler-kubr-yp-klg-250-BAL&text=Sefer+Hoca&t=719&ask_summarization=1"},{"index":7,"title":"Tuz ve Şeker Karışımları","list":{"type":"unordered","items":["A gram tuz ile B gram şeker karıştırılarak 150 gramlık bir karışım oluşturuluyor ve B = 3A - 30 olduğuna göre karışımın %70'i tuzdur.","Karışım problemlerinde hangi maddeden başlanacağına karar vermek önemli değildir."]},"beginTime":824,"endTime":906,"href":"/video/preview/6467318649759610338?channelId=d3d3LnlvdXR1YmUuY29tO1VDdTJTNjdNbjM3cGZqQTBLLUpjdGNHUQ%3D%3D&how=tm&parent-reqid=1751633810870405-11498193565754305973-balancer-l7leveler-kubr-yp-klg-250-BAL&text=Sefer+Hoca&t=824&ask_summarization=1"},{"index":8,"title":"Şekerli Su Karışımları","list":{"type":"unordered","items":["%20'si şeker olan 40 gram şekerli su karışımına a gram şeker ve a kg su eklenirse karışımın su oranı %74 oluyor.","a değeri 5 olarak bulunmuştur."]},"beginTime":906,"endTime":1094,"href":"/video/preview/6467318649759610338?channelId=d3d3LnlvdXR1YmUuY29tO1VDdTJTNjdNbjM3cGZqQTBLLUpjdGNHUQ%3D%3D&how=tm&parent-reqid=1751633810870405-11498193565754305973-balancer-l7leveler-kubr-yp-klg-250-BAL&text=Sefer+Hoca&t=906&ask_summarization=1"},{"index":9,"title":"Altın Karışımları","list":{"type":"unordered","items":["Saf altın 24 ayardır ve 30 gram saf altın ile kaç gram 18 ayar altın eritildiğinde 22 ayar altın elde edilir.","15 gram 18 ayar altın ilave edilmesi gerekiyor ki 22 ayar altın elde edilebilsin."]},"beginTime":1094,"endTime":1233,"href":"/video/preview/6467318649759610338?channelId=d3d3LnlvdXR1YmUuY29tO1VDdTJTNjdNbjM3cGZqQTBLLUpjdGNHUQ%3D%3D&how=tm&parent-reqid=1751633810870405-11498193565754305973-balancer-l7leveler-kubr-yp-klg-250-BAL&text=Sefer+Hoca&t=1094&ask_summarization=1"},{"index":10,"title":"Şeker Oranı Problemi","list":{"type":"unordered","items":["Şeker oranı %24 olan a litre şekerli su ile şeker oranı %32 olan b litre şekerli su karıştırılıyor.","a'nın b'den küçük olduğu bilgisi verilmiş ve oluşan karışımın şeker yüzdesinin alabileceği en küçük tam sayı değeri sorulmuş."]},"beginTime":1233,"endTime":1271,"href":"/video/preview/6467318649759610338?channelId=d3d3LnlvdXR1YmUuY29tO1VDdTJTNjdNbjM3cGZqQTBLLUpjdGNHUQ%3D%3D&how=tm&parent-reqid=1751633810870405-11498193565754305973-balancer-l7leveler-kubr-yp-klg-250-BAL&text=Sefer+Hoca&t=1233&ask_summarization=1"},{"index":11,"title":"Şeker Yüzdesi Problemi","list":{"type":"unordered","items":["A'nın B'den küçük olma bilgisi, şeker yüzdesinin en az ne olabileceğini belirlemek için önemlidir.","A'nın şeker yüzdesi %24, B'nin şeker yüzdesi %32 olduğunda, A'nın B'den daha fazla şeker içermesi için şeker yüzdesi %32'ye daha yakın olmalıdır.","Eğer karışımlar eşit olsaydı şeker yüzdesi %28 olurdu, ancak B'den daha fazla şeker içermesi için en az %29 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Çözümü","list":{"type":"unordered","items":["Bir karışım probleminde 44x tuz ve 56x su bulunuyor, yüzde 50'si buharlaştırıldığında karışım 72x oluyor ve toplam 360 gram olduğunda x=5 bulunuyor, başlangıçtaki karışım 500 gram.","Yüzde 30'luk x litre şekerli su ile yüzde 60'luk y litre şekerli su karışımı, toplam x+y gramlık karışımın yüzde 48'i oluyor ve x=2k, y=3k olarak ifade ediliyor.","Yüzde 20'lik x litre tuzlu su ile yüzde 35'lik y litre tuzlu su karışımı, toplam x+y litre karışımın tuz oranı 29 olarak hesaplanıyor."]},"beginTime":1859,"endTime":2041,"href":"/video/preview/6467318649759610338?channelId=d3d3LnlvdXR1YmUuY29tO1VDdTJTNjdNbjM3cGZqQTBLLUpjdGNHUQ%3D%3D&how=tm&parent-reqid=1751633810870405-11498193565754305973-balancer-l7leveler-kubr-yp-klg-250-BAL&text=Sefer+Hoca&t=1859&ask_summarization=1"},{"index":15,"title":"Gelecek Ders Planı","list":{"type":"unordered","items":["Karışım problemleri dersi yarın bitirilecek, sonrasında hareket problemleri, grafik problemleri ve sayısal yetenek problemleri konuları işlenecek.","TYT özel problemler videosu çekilecek, bu video sınav simülasyonu niteliğinde olacak ve her problemden ortalama 10 soru içerecek.","Problemler geniş geniş işlenecek, aceleye getirilmeyecek ve kamp sonunda orta düzey bir soru bankası bitirilecek."]},"beginTime":2041,"endTime":2122,"href":"/video/preview/6467318649759610338?channelId=d3d3LnlvdXR1YmUuY29tO1VDdTJTNjdNbjM3cGZqQTBLLUpjdGNHUQ%3D%3D&how=tm&parent-reqid=1751633810870405-11498193565754305973-balancer-l7leveler-kubr-yp-klg-250-BAL&text=Sefer+Hoca&t=2041&ask_summarization=1"},{"index":16,"title":"Kamp Sonucu ve Öneriler","list":{"type":"unordered","items":["Bu kamp ve geometri dahil edildiğinde ortalama bir öğrenci matematikte 15-20 net bandına yerleştirilecek.","Orta düzey bir kaynakla birlikte çalışıldığında netler 20-22 aralığına çıkacak.","Üst düzey sorulara (3D, Orjinal, Bilgi Sarmalı branş denemeleri) çalışıldığında netler 30-33 bandına çıkarılacak ve bu seviyede olan öğrenci kendi yöntemini geliştirmeye başlayacak."]},"beginTime":2122,"endTime":2259,"href":"/video/preview/6467318649759610338?channelId=d3d3LnlvdXR1YmUuY29tO1VDdTJTNjdNbjM3cGZqQTBLLUpjdGNHUQ%3D%3D&how=tm&parent-reqid=1751633810870405-11498193565754305973-balancer-l7leveler-kubr-yp-klg-250-BAL&text=Sefer+Hoca&t=2122&ask_summarization=1"}],"linkTemplate":"/video/preview/6467318649759610338?channelId=d3d3LnlvdXR1YmUuY29tO1VDdTJTNjdNbjM3cGZqQTBLLUpjdGNHUQ%3D%3D&how=tm&parent-reqid=1751633810870405-11498193565754305973-balancer-l7leveler-kubr-yp-klg-250-BAL&text=Sefer+Hoca&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"46. 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Dersin PDF sini aşağıdaki linkten indirebilirsiniz...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4578586/49b4c0d2d0d89a239ed0a066f87766c4/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/VVqePQIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"7","reqid":"1751633810870405-11498193565754305973-balancer-l7leveler-kubr-yp-klg-250-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1751633810870405-11498193565754305973-balancer-l7leveler-kubr-yp-klg-250-BAL&text=videoid:15963501499136308724","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitmen tarafından sunulan matematik dersinin 45. gün videosudur. Eğitmen, Tülay adında bir kişiyle iletişim halindedir.","Videoda eğitmen, kar-zarar konusundaki çeşitli problemleri adım adım çözmektedir. Yaş sabunları, otel konaklama ücretleri, manav meyveleri, Mustafa Bey'in arsa alım-satımı, çiftçinin yumurtaları ve Ali'nin telefonuna uygulama indirme gibi farklı kar-zarar problemleri ele alınmaktadır. Her problem için detaylı hesaplamalar yapılarak çözümler sunulmaktadır.","Eğitmen, kar-zarar problemlerinin ardından karışım problemlerine geçeceğini belirtmekte ve karışım problemlerinin aslında en kolay problemlerden biri olduğunu ancak öğrencilerin genellikle sevmediğini ifade etmektedir."]},"endTime":1396,"title":"Kar-Zarar Problemleri Matematik Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Kar Zarar Problemleri","list":{"type":"unordered","items":["Eğitmen, kampın 45. gününde kar zarar problemlerine devam edeceğini belirtiyor.","İlk soruda, bir market kilogramını 8 TL'den aldığı yaş sabunları kurutarak kuru sabunların kilogramını 16 TL'den satıyor ve bu satıştan %50 kar elde ediyor.","Market, yaş sabunu kurutarak 0,75 kilogram (750 gram) kuru sabun elde ediyor."]},"beginTime":0,"endTime":129,"href":"/video/preview/15963501499136308724?channelId=d3d3LnlvdXR1YmUuY29tO1VDdTJTNjdNbjM3cGZqQTBLLUpjdGNHUQ%3D%3D&how=tm&parent-reqid=1751633810870405-11498193565754305973-balancer-l7leveler-kubr-yp-klg-250-BAL&text=Sefer+Hoca&t=0&ask_summarization=1"},{"index":1,"title":"Otel Konaklama Ücreti Problemi","list":{"type":"unordered","items":["Bir oteldeki odaların bir gecelik kişi başına konaklama ücretleri tabloda verilmiş, 0-12 yaş arası ücretsiz, 12-18 yaş arası %50 indirimli.","Anne, baba ve 8 yaşındaki çocuk (ücretsiz) ile 13 yaşındaki çocuk (yüzde elli indirimli) iki gece orman manzaralı standart odada konakladıktan sonra 500 TL ödemişler.","İki gece deniz manzaralı aile odasında konakladıktan sonra toplam 1500 TL ödemişler, toplam 2500 TL ödemişler."]},"beginTime":129,"endTime":253,"href":"/video/preview/15963501499136308724?channelId=d3d3LnlvdXR1YmUuY29tO1VDdTJTNjdNbjM3cGZqQTBLLUpjdGNHUQ%3D%3D&how=tm&parent-reqid=1751633810870405-11498193565754305973-balancer-l7leveler-kubr-yp-klg-250-BAL&text=Sefer+Hoca&t=129&ask_summarization=1"},{"index":2,"title":"Manav Meyve Fiyatları Problemi","list":{"type":"unordered","items":["Bir manavda 16 kilogram muz, 20 kilogram limon ve 50 kilogram portakal bulunmaktadır.","Muz limondan %25, limon portakaldan %25 pahalıdır.","Manav elindeki meyvelerin hepsini belirlediği fiyattan satarak 2400 TL gelir elde etmiştir ve muzun kilogram satış fiyatı 37,5 TL'dir."]},"beginTime":253,"endTime":433,"href":"/video/preview/15963501499136308724?channelId=d3d3LnlvdXR1YmUuY29tO1VDdTJTNjdNbjM3cGZqQTBLLUpjdGNHUQ%3D%3D&how=tm&parent-reqid=1751633810870405-11498193565754305973-balancer-l7leveler-kubr-yp-klg-250-BAL&text=Sefer+Hoca&t=253&ask_summarization=1"},{"index":3,"title":"Firma Kar 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