Comparison between 2 or more quantities

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SUMMARY

The discussion clarifies that ratios can indeed be used to compare different quantities, such as ingredients in a recipe. Specifically, the ratio of cakes to eggs can be expressed as 1:5, indicating that one cake requires five eggs. Participants emphasized that while the units differ (cakes vs. eggs), the comparison remains valid as it reflects the relationship between the quantities involved. This understanding is essential for applying ratios in various contexts, including culinary measurements and other practical applications.

PREREQUISITES
  • Understanding of basic mathematical concepts, particularly ratios.
  • Familiarity with unit conversion and measurement.
  • Knowledge of recipe formulation and ingredient scaling.
  • Basic arithmetic skills for calculating ratios.
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  • Explore the concept of unit rates and their applications in real-world scenarios.
  • Learn about scaling recipes and adjusting ingredient quantities based on servings.
  • Investigate the mathematical principles behind ratios and proportions in various fields.
  • Study examples of ratios in different contexts, such as fuel efficiency and pricing.
USEFUL FOR

This discussion is beneficial for culinary enthusiasts, educators teaching mathematics, and anyone interested in understanding the practical applications of ratios in everyday life.

dibilo
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Hi everyone, I need your help badly.

This may sound simple to everyone but I need to get the concept sorted out.

For ratios, we know that it is a comparison between 2 or more quantities with the same units.

My question is, can ratio be used to compare between say ingredients in a recipe? say 1 cake needs 5 eggs, 2 cakes needs 10 eggs. Thus 1:5 and 2:10.

Tecnically they are of different "units" (cakes to eggs) but it seems fine to me if we compare it in such manner.

Please help me to solve this problem. Thanks.
 
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dibilo said:
For ratios, we know that it is a comparison between 2 or more quantities with the same units.
Yes, that is true



dibilo said:
can ratio be used to compare between say ingredients in a recipe?
Yes you can I believe.


dibilo said:
Tecnically they are of different "units" (cakes to eggs) but it seems fine to me if we compare it in such manner.

You aren't comparing cakes to eggs in the sense that you are taking a cake and dividing it by 5 eggs.

You are comparing the Number of cakes to the number of eggs.
So the ratio of the number of cakes you can make to the number of eggs needed to make the cakes is given by 1:5
 
Yes, you compare two numbers AND units using a ratio. The units of one number go together, and the units of the other number go together. Most of the time, numbers COUNT something. This means a unit goes with a number. A very accessible example generally is fuel efficiency and fuel price. Each of those is a different ratio. The number of miles per gallon is a ratio. That be two numbers. The number of dollars per gallon is another ratio, again two numbers.
 

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