Alternate Solution to Ratio Problem (HD Version) | Summary and Q&A

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November 5, 2009
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Khan Academy
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Alternate Solution to Ratio Problem (HD Version)

TL;DR

This video demonstrates how to solve a ratio problem using algebraic equations and provides an alternate method to finding the solution.

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Questions & Answers

Q: What is the original ratio of apples to oranges in the problem?

The original ratio is 5:8, meaning there were 5 apples for every 8 oranges.

Q: What happens to the ratio after 15 apples are taken away?

The ratio changes to 1:4, indicating that for every apple remaining, there are 4 oranges.

Q: How can the problem be solved algebraically?

By assigning variables (a for apples and o for oranges) and using algebraic equations, the problem can be solved by finding values that satisfy both equations simultaneously.

Q: What is the final answer and the number of fruit remaining?

Starting with 25 apples and 40 oranges, the removal of 15 apples results in a total of 10 apples and 40 oranges, totaling 50 pieces of fruit.

Summary & Key Takeaways

  • The video addresses a ratio problem involving the removal of 15 apples, with the original ratio being 5:8, and the resulting ratio becoming 1:4.

  • The problem requires determining the total number of fruit remaining after the removal of the 15 apples.

  • Two methods, one involving verbal explanation and the other algebraic equations, are used to solve the problem, resulting in the same answer.

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