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Caden and his little sister, Nina, went blackberry picking. Caden helped Nina get started until she had berries. When Caden started picking his own berries, he picked berries per minute while Nina continued to pick berries per minute.Which equation can you use to find , the number of minutes it took for Caden to have as many berries as Nina?Choices:(A) (B) After how many minutes did Caden have as many berries as Nina?Simplify any fractions.____ minutes
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Q. Caden and his little sister, Nina, went blackberry picking. Caden helped Nina get started until she had berries. When Caden started picking his own berries, he picked berries per minute while Nina continued to pick berries per minute.Which equation can you use to find , the number of minutes it took for Caden to have as many berries as Nina?Choices:(A) (B) After how many minutes did Caden have as many berries as Nina?Simplify any fractions.____ minutes
- Set Up Equation: Let's set up an equation to represent the number of berries each person has after minutes. Nina starts with berries and picks more each minute. Caden picks berries per minute. We want to find the point at which they have the same number of berries.Nina's berries: Caden's berries: The equation to find when they have the same number of berries is:
- Solve for : Now we need to solve for . To do this, we'll subtract from both sides to get all the terms on one side.This simplifies to:
- Isolate : Next, we divide both sides by to isolate .This gives us:
- Check Solution: We check our work to ensure there are no math errors. Nina would have berries after minutes. Caden would have berries after minutes. Since both have berries after minutes, our solution is correct.
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