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Word Problems

Browse Middle School Ratio/Proportion
Stars indicate particularly interesting answers or good places to begin browsing.

Selected answers to common questions:
    Mixture problems.
    Unit conversions, unit cancellation.
    What is a ratio?

Visualizing Ratios to Scale Least Common Multiples [10/02/2010]
The ratio of Cotsworld sheep to Swaledales is 3:5, and the ratio of Swaledales to Longwools is 7:4. What is the ratio of Cotsworlds to Longwools?

Weighted Averages [11/30/2001]
An advertisement for an orange drink claims that the drink contains 10% orange juice. How much pure orange juice would have to be added to 5 quarts of the drink to obtain a mixture containing 40% orange juice?

Which is More? [05/21/2002]
Given a choice between nickels stacked to your height, or quarters placed end to end to your height, which should you choose?

Why Does Cross Multiplication Work? [05/09/2002]
Why does the rule a/b = c/d also mean ad = bc? Why can we solve proportions by cross multiplying?

Why There are 12 Tones in a Scale [12/28/2000]
Why are there 12 tones in an octave? Can you explain the significance or the equation r^n = 2^m? Also, what's so special about a fifth? Why should the scale be based on the fraction 3/2?

Working with Multi-Part Ratios [05/21/2007]
Can you explain how to work with a three-part ratio such as 2:3:6? I understand basic ratios but am not sure how the various numbers relate to each other when there are more than two of them.

Writing Ratios [06/03/1999]
How can I write a ratio in three different ways?

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