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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?

Radius of a Sphere [01/29/1998]

Raising the Antifreeze Ratio [08/07/99]

Ratio and proportion [12/5/1994]
I need extra help in ratio and proportion.

Ratio and Proportion [7/4/1996]


Ratio and Proportion: Jobs [7/7/1996]

Ratio of Anti-Freeze to Water [7/28/1996]
How much water should I add to a gallon of anti-freeze to make a 60/40 solution?

Ratio of Apples to Pears to Oranges [09/13/2002]
If the ratio of apples to pears to oranges is 7:8:10, how many pears are there if the total number of fruits is 500?

Ratio of Greek to Latin Exams [06/10/2003]
Susanna's average score on all exams was 88. On Greek exams it was 80, and on Latin exams 92. What is the ratio of the number of Greek exams to the number of Latin exams?

Ratio of Ore to Copper [9/4/1996]
Ore contains 2 percent copper. How much ore is needed to obtain 24 tons of copper?

Ratio of Rates and Work [06/06/1998]

Ratio of Ratios [06/05/2002]





Ratios and Geometry [10/29/1998]

Ratios and Mixtures [05/10/2001]

How are ratios and proportions used in everyday life?

Ratios Between Keys on a Piano [11/05/1997]
I know that there is a formula to describe a ratio from one key to another but I can't find it...

Ratios Containing a Zero [07/03/2005]
What does the ratio 1:0 mean? What does the ratio 0:1 mean? Are they meaningless?

Ratio Set-Up Problem [09/02/2003]

Ratios: Second Number [01/04/1998]
What does the second number in a ratio stand for?

Recipes and Adjusting Ingredient Amounts [04/20/2005]
In a recipe, 5 1/2 cups of coconut uses 14 ounces of milk, but I only have 4 cups of coconut, so how many ounces of milk do I use?

Rule of Three [06/15/2002]

Scale Factor Acrobatics [07/15/2014]

Scale Factor of Similar Shapes [05/12/2000]

Scaling up from a Numerator and Denominator to a Triple Ratio [07/08/2011]
A student familiar with fractions struggles to put more than two unknowns into one proportional relationship. Doctor Jerry sets up equations to represent the scale factors.

Setting up Proportions [03/11/2010]
Doctor Peterson explains how a proportion resembles a table of data, and shows a seventh grader how to spot mistakes when setting up relationships between ratios.

Sides of Similar Triangles [06/11/1998]

Similar Rectangles [05/03/1997]

Single Variable Algebraic Mixture Problem [05/03/2005]


Solving a Ratio Problem [02/06/2006]
There are 33 red and yellow counters in a container. The ratio of red to yellow is 3 to 8. How many of each color are in the container?

Tea and Cakes [11/13/2002]

Triangle and Trapezium Ratio [10/26/1998]



Using a Diagram to Find a Formula [11/13/2002]
A bag contains green, yellow and orange marbles. The ratio of green to yellow marbles is 2:5. The ratio of yellow to orange marbles is 3:4. What is the ratio of green marbles to orange marbles?



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