Grades 5-6 Video Solutions 2025-2025_5-6

Video Transcription

21. A witch had 10 apples, 9 bananas, and 6 pears. One day she performed some magic and turned each of her pieces of fruit into one of the other two types. For example, she  changed each apple into either a banana or a pear. She now has 15 apples, 7 bananas, and 3 pears. How many of the apples did she change into bananas?  Pause if you want to try and solve it. So this one we can actually do pretty quickly if we notice something. So each apple, it  says right here, each apple turned into either a banana or a pear. So each of these 10 apples either became a banana or a pear. Now notice, there's 7 bananas and 3 pears. And 7 plus  3 afterwards, there's 7 bananas and 3 pears. And 7 plus 3 is 10. And since all of her apples  all of these 10 apples turned into either a banana or a pear, that actually means that all of these bananas and pears came from apples. So none of the bananas were turned into pears  and none of the pears were turned into bananas. Only the apples were turned into either pears or bananas. And you can see over here that the sum of the amount of bananas and pears,  if you add that up, 9 plus 6 is equal to 15. So all of the bananas were turned into apples  and all of the pears were turned into apples. So that means that the answer to this is actually pretty easy. It's just all of the bananas that she has now, all of the bananas came  from apples so she turned 7 apples into bananas. So that is answer option E.

Video Summary

In this problem, the witch initially has 10 apples, 9 bananas, and 6 pears. After performing magic, she ends up with 15 apples, 7 bananas, and 3 pears. By evaluating the transformation, it reveals that all 10 original apples were converted into either bananas or pears, resulting in a total of 7 bananas and 3 pears, matching the number of apples changed. Additionally, the original bananas and pears were entirely turned into apples. Therefore, she transformed 7 of her apples into bananas, making the correct answer 7.