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şimdiki yaşındayken Ayşe yirmibeş yaşında olacaktır.","Meleğin bugünkü yaşı soruluyor."]},"beginTime":536,"endTime":583,"href":"/video/preview/4227729313044072821?parent-reqid=1768714246758240-12747514787239001276-balancer-l7leveler-kubr-yp-vla-85-BAL&text=55Problem&t=536&ask_summarization=1"},{"index":5,"title":"Yaş Problemleri Çözümü","list":{"type":"unordered","items":["Aradaki farkları kullanarak yaş problemlerini çözmek önemlidir.","Cemre ve Meleğin yaş probleminde, aradaki farkları kullanarak Meleğin bugünkü yaşının 18 olduğunu bulabiliriz.","Aradaki farkları iyi kullanıldığında yaş problemleri kolayca çözülebilir."]},"beginTime":590,"endTime":687,"href":"/video/preview/4227729313044072821?parent-reqid=1768714246758240-12747514787239001276-balancer-l7leveler-kubr-yp-vla-85-BAL&text=55Problem&t=590&ask_summarization=1"},{"index":6,"title":"Basamak Analizi ile Yaş Problemi","list":{"type":"unordered","items":["Üç çocuklu bir ailede, babanın yaşı üç çocuğun yaşları toplamının iki katı olarak verilmiştir.","x=5 ve y=8 olarak bulunarak, babanın 58 yaşında olduğu hesaplanmıştır.","Üç yıl sonra babanın yaşı, üç çocuğun yaşları toplamından 23 fazla olacaktır."]},"beginTime":687,"endTime":819,"href":"/video/preview/4227729313044072821?parent-reqid=1768714246758240-12747514787239001276-balancer-l7leveler-kubr-yp-vla-85-BAL&text=55Problem&t=687&ask_summarization=1"},{"index":7,"title":"Arkadaşlar Arasında Yaş Problemi","list":{"type":"unordered","items":["2000 ve 2008 yıllarında üç arkadaşın yaşları verilmiştir.","2008 yılında Ömer'in yaşı Canan'ın yaşının üç katı ve Mustafa Canan'dan 12 yaş büyük olarak belirtilmiştir.","2020 yılında üç arkadaşın yaşları toplamı 98'dir."]},"beginTime":819,"endTime":970,"href":"/video/preview/4227729313044072821?parent-reqid=1768714246758240-12747514787239001276-balancer-l7leveler-kubr-yp-vla-85-BAL&text=55Problem&t=819&ask_summarization=1"},{"index":8,"title":"Anne ve Kız Arasında Yaş 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hesaplanıyor."]},"beginTime":402,"endTime":540,"href":"/video/preview/5041740073467791350?parent-reqid=1768714246758240-12747514787239001276-balancer-l7leveler-kubr-yp-vla-85-BAL&text=55Problem&t=402&ask_summarization=1"},{"index":4,"title":"Dördüncü Karışım Problemi","list":{"type":"unordered","items":["Burcu ve Özgür limonata yapmak için su, limon suyu ve iki farklı şeker çeşidi kullanacaklar.","Şekerlerin her biri 50 gramlık küpler halindedir.","Burcu 10 küp pancar şekeri (500 gram) kullanırken, Özgür 12 küp nişasta bazlı şeker (600 gram) kullanmış."]},"beginTime":540,"endTime":642,"href":"/video/preview/5041740073467791350?parent-reqid=1768714246758240-12747514787239001276-balancer-l7leveler-kubr-yp-vla-85-BAL&text=55Problem&t=540&ask_summarization=1"},{"index":5,"title":"Pancar Şekeri ve Limon Suyu Problemi","list":{"type":"unordered","items":["Bir kişinin kullandığı suyun %20'si pancar şekeri, diğer kişinin kullandığı suyun ise %15'i şeker olarak kullanılıyor.","İlk kişinin kullandığı su miktarı 2500 gram, ikinci kişinin kullandığı su miktarı ise 4000 gram olarak hesaplanıyor.","Her 100 gram şeker-su karışımına 40 gram limon suyu ekleniyor ve toplam limon suyu miktarı 2340 gram olarak bulunuyor."]},"beginTime":645,"endTime":794,"href":"/video/preview/5041740073467791350?parent-reqid=1768714246758240-12747514787239001276-balancer-l7leveler-kubr-yp-vla-85-BAL&text=55Problem&t=645&ask_summarization=1"},{"index":6,"title":"Şeker-Su Karışımları Problemi","list":{"type":"unordered","items":["Üç kaptaki şeker-su karışımlarının şeker yüzdeleri verilmiş ve karışım işlemlerinin sonunda A kabındaki su yüzdesi isteniyor.","Karıştırılan madde miktarları eşitse, yeni karışımın yüzde oranı, iki karışımın yüzde oranlarının aritmetik ortalaması olur.","Son durumda A kabındaki şeker yüzdesi %55 olarak bulunur, bu da su yüzdesinin %45 olduğunu gösterir."]},"beginTime":794,"endTime":969,"href":"/video/preview/5041740073467791350?parent-reqid=1768714246758240-12747514787239001276-balancer-l7leveler-kubr-yp-vla-85-BAL&text=55Problem&t=794&ask_summarization=1"},{"index":7,"title":"Alkollü Su Karışımları Problemi","list":{"type":"unordered","items":["X, Y, Z karışımlarının toplam ağırlıkları ve alkol oranları verilmiş, alkol oranı %50 olan bir karışımın ağırlığı en fazla kaç olabilir soruluyor.","Aritmetik ortalama hesaplaması yapılarak, %40 ve %70 oranındaki karışımlardan hangisinden daha fazla alınması gerektiği belirleniyor.","En fazla 1200 gram karışım oluşturulabilir, bu da X kabından 400 gram, Y kabından 200 gram ve Z kabından 600 gram alınması gerektiği anlamına geliyor."]},"beginTime":969,"endTime":1236,"href":"/video/preview/5041740073467791350?parent-reqid=1768714246758240-12747514787239001276-balancer-l7leveler-kubr-yp-vla-85-BAL&text=55Problem&t=969&ask_summarization=1"},{"index":8,"title":"Süt Karışım Problemi","list":{"type":"unordered","items":["ABC marka sütlerin yağ ve laktoz yüzdeleri verilmiş, B marka sütten bulamayan sütlaç ustası, tencerenin 4/9'u A marka sütle, kalan kısmı C marka sütle doldurarak B marka sütün laktoz ve yağ yüzdelerini elde etmiştir.","Karışım problemi çözülerek, A markasından 4, C markasından 5 alındığında oluşan karışımın B marka sütüne benzemesi için C markasındaki laktoz oranı (x) 12/5, yağ oranı (y) 27/5 olarak bulunmuştur.","x+y toplamı 39/5 (7,8) olarak hesaplanmıştır."]},"beginTime":1239,"endTime":1457,"href":"/video/preview/5041740073467791350?parent-reqid=1768714246758240-12747514787239001276-balancer-l7leveler-kubr-yp-vla-85-BAL&text=55Problem&t=1239&ask_summarization=1"},{"index":9,"title":"Turnusol Kağıdı Sorusu","list":{"type":"unordered","items":["Mavi turnusol kağıdı batırıldığı sıvının asit yüzdesine göre renk değiştirmektedir: 10-15% asitlik yüzdesi pembe, 15-20% açık kırmızı, 20-30% koyu kırmızı renk alır.","A kabında 20 litre %8 asit, B kabında 10 litre %14 asit, C kabında 10 litre %35 asit olan sıvılar arasında karıştırma yapılmıştır.","Son durumda A kabında %15,3, B kabında %11, C kabında %23 asitlik yüzdelik bulunmuş, turnusol kağıtlarına batırıldığında sırasıyla açık kırmızı, pembe ve koyu kırmızı renkler alınmıştır."]},"beginTime":1457,"endTime":1681,"href":"/video/preview/5041740073467791350?parent-reqid=1768714246758240-12747514787239001276-balancer-l7leveler-kubr-yp-vla-85-BAL&text=55Problem&t=1457&ask_summarization=1"},{"index":10,"title":"Fındık Ezmesi Problemi","list":{"type":"unordered","items":["200 gram ağırlığındaki fındık ezmesinin %65'i fındık, %26'sı şeker, %9'u diğer maddelerden oluşmaktadır.","Şeker miktarı %20 azaltılıp, diğer maddelerin miktarı değiştirilmeden fındık miktarı artırılarak aynı ağırlıkta yeni bir fındık ezmesi yapılmak istenmektedir.","Şeker miktarının %20'si (40 gram) azaltılıp, bu miktar fındık olarak artırıldığında, fındık miktarı %8 oranında artırılmış olur."]},"beginTime":1681,"endTime":1896,"href":"/video/preview/5041740073467791350?parent-reqid=1768714246758240-12747514787239001276-balancer-l7leveler-kubr-yp-vla-85-BAL&text=55Problem&t=1681&ask_summarization=1"},{"index":11,"title":"Mısır Kurutma Problemi","list":{"type":"unordered","items":["Deniz, yaş mısırın kurutulduğunda ağırlığının %20 oranında azaldığını ve kurutulmuş mısırın patlatıldığında ağırlığının %10 oranında azaldığını okumuştur.","Deniz, 240 gram patlamış mısır elde etmek için yeterli miktarda yaş mısır satın almıştır.","Deniz, elde ettiği patlamış mısır miktarının istenilen miktardan az olduğunu ve bu durumun tarihteki hatadan kaynaklandığını, %20 olarak yazılan oranın aslında %30 olması gerektiğini düşünmüştür."]},"beginTime":1898,"endTime":1956,"href":"/video/preview/5041740073467791350?parent-reqid=1768714246758240-12747514787239001276-balancer-l7leveler-kubr-yp-vla-85-BAL&text=55Problem&t=1898&ask_summarization=1"},{"index":12,"title":"Problemin Çözümü","list":{"type":"unordered","items":["Deniz, yaş mısırın %20 oranında kaybedilmesi durumunda 100x mısır aldığında 72x gram patlamış mısır elde edebileceğini hesaplamıştır.","Doğru hesaplamada yaş mısırın %30 oranında azalması durumunda, 1000/3 gram yaş mısır elde edilir.","Kurutulma ve patlama işlemlerinden sonra gerçekte 210 gram patlamış mısır elde edilmiştir."]},"beginTime":1956,"endTime":2101,"href":"/video/preview/5041740073467791350?parent-reqid=1768714246758240-12747514787239001276-balancer-l7leveler-kubr-yp-vla-85-BAL&text=55Problem&t=1956&ask_summarization=1"},{"index":13,"title":"Dersin Durumu ve Gelecek Plan","list":{"type":"unordered","items":["Derste işçi problemlerine geçildiği ve sonra ortak konulara ilerleneceği belirtilmiştir.","Fonksiyonlar hariç tüm konuların tamamının bitirildiği, TYT matematik için yarısından fazlasının tamamlandığı ifade edilmiştir.","Permütasyon, kombinasyon ve olasılık konularının ayrıntılı şekilde işleneceği belirtilmiştir."]},"beginTime":2101,"endTime":2162,"href":"/video/preview/5041740073467791350?parent-reqid=1768714246758240-12747514787239001276-balancer-l7leveler-kubr-yp-vla-85-BAL&text=55Problem&t=2101&ask_summarization=1"}],"linkTemplate":"/video/preview/5041740073467791350?parent-reqid=1768714246758240-12747514787239001276-balancer-l7leveler-kubr-yp-vla-85-BAL&text=55Problem&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"related_category":"series","text":"Karışım Problemleri Bıyıklı Sorular | 55 Günde TYT Matematik Kampı | 32. 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