Unit 8 · Rates and Ratios
Four Bananas Equal Six Apples — Which Bags Match?
Lesson 5 of 7
About this lesson
4 bananas = 6 apples → 1 banana = 1.5 apples. Convert each bag: Bag1=10×1.5+9=24, Bag2=6×1.5+12=21, Bag3=16×1.5+3=27. All different. The key insight: without converting to a common unit, students might think bags with 'similar' counts weigh the same.
Chapters
Question
Four bananas weigh the same as six apples.
A shopkeeper puts fruit into bags.
Bag 1: 10 bananas and 9 apples
Bag 2: 6 bananas and 12 apples
Bag 3: 16 bananas and 3 apples
Which one of these statements is correct?
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