More advanced ratio problem--with Algebra (HD version) | Summary and Q&A

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November 5, 2009
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Khan Academy
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More advanced ratio problem--with Algebra (HD version)

TL;DR

Solve a classic ratio problem involving apples and oranges by using algebraic equations and calculations.

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Key Insights

  • 🥳 Algebraic equations can be used to solve ratio problems involving fruit quantities.
  • 🍍 The initial ratio of apples to oranges helps determine the number of apples in the starting scenario.
  • 🍏 Subtracting apples and keeping oranges constant allows for the determination of the fruit groups remaining.

Transcript

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Questions & Answers

Q: What is the initial ratio of apples to oranges?

The initial ratio is 5:8, meaning for every group of 13 fruits, there are 5 apples and 8 oranges.

Q: What is the equation used to calculate the number of apples in the initial scenario?

The equation is 5x/13, where x represents the total number of fruit. This gives the number of apples starting with.

Q: What is the equation used to calculate the number of apples after subtracting 15 from the initial scenario?

The equation is (x-15)/5, which represents the number of groups of 5 fruits after removing 15 apples.

Q: What is the final answer to the problem, and what does it represent?

The final answer is 50 pieces of fruit, which represents the total amount of fruit after subtracting 15 apples from the initial scenario.

Summary & Key Takeaways

  • The problem involves finding the total amount of fruit after subtracting 15 apples from an initial number of fruit.

  • The ratio of apples to oranges is given as 5:8, and after subtracting 15 apples, the new ratio becomes 1:4.

  • Using algebraic equations, the number of groups of 13 fruits is determined and then used to calculate the number of apples and oranges in the initial and final scenarios.

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