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the three little ompas
directions show work for each of the questions also write an explanation of how you solved the problem.
on her way home, sally likes to eat peanuts. one day as she was reaching into her school bag, a hideous laughing creature jumped in front of her, identified itself as an ompa, and grabbed her sack. it took half of her peanuts plus 2 more. a bit shaken, sally continued home. before she had a chance to eat one more peanut, another ompa jumped into her path and also took half of her peanuts plus two more. very upset now, sally hurried on home. what else could she do? but before she had a chance to eat even one more peanut, another ompa jumped out and did the very same thing - took half of her peanuts plus two more. now there were only 2 peanuts left in sally bag. she was so sad that she sat down and cried. the three little ompas reappeared, feeling some sense of remorse, and told her that they would return all of her peanuts to her if she could tell them how many she had altogether when she began her journey home from school.
answer the questions after you read the story.
1. how many peanuts had been in sally's school bag when she began her journey?
2. suppose sally had been left with 3 peanuts. how many had been in her bag at the beginning?
3. suppose had been 4 ompas. can you find a way to predict how many peanuts sally had in her bag regardless of how many she was left with or how many ompas took peanuts from her?
read the whole story.