Comparison between 2 or more quantities

AI Thread Summary
Ratios are a comparison between two or more quantities, typically with the same units, but they can also be applied to different units, such as ingredients in a recipe. For example, comparing the number of cakes to the number of eggs needed (1 cake to 5 eggs) is valid, resulting in a ratio of 1:5. This comparison is not about dividing one unit by another but rather about relating the quantities involved. Each quantity in a ratio can have its own unit, as seen in examples like fuel efficiency and fuel price. Thus, ratios can effectively illustrate relationships between different types of quantities.
dibilo
Messages
47
Reaction score
0
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.
 
Mathematics news on Phys.org
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.
 
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...

Similar threads

Back
Top