Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [ratio]

For questions concerning the ratio of a certain quantity to another.

In mathematics, a ratio is a relationship between two quantities indicating how many times the first number contains the second. For example, if a bowl of fruit contains eight oranges and six lemons, then the ratio of oranges to lemons is eight to six (that is, $8:6$, which is equivalent to the ratio $4:3$). The numbers compared in a ratio can be any quantities of a comparable kind, such as objects, persons, lengths, or spoonfuls. A ratio is written "$a$ to $b$" or $a:b$, or sometimes expressed arithmetically as a quotient of the two.

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Ratio & Proposition: Question on mixtures

Ratio of milk to water in a jar is 5:1. If 10 litres of this mixture is removed and 4 litres of milk and 2 litres of water are added, then quantity of milk becomes 300% more than that of water in the jar. What was the original quantity of water in…
Krishna M
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Is ratio of members of two progression increases?

I have two progressions: $$\begin{align}P_1&: xy, xy + (x+2)(y+2), xy + (x+2)(y+2) + (x+4)(y+4),\dots, \sum_1^i (x+2(j-1))(y+2(j-1))\end{align}$$ $$\begin{align}P_2&: (x+2)(y+2), (x+4)(y+4),\dots, (x + 2i)(y+2i)\end{align}$$ $x, y$ are natural…
Marina
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Convert US Dollar / lb to Canadian Dollar / kg

I can find exchange rate conversions and lbs to kgs. How can I convert USD/LB to CAD/KG? What is the formula? Specifically, I have $1.61 / lb and I need to know what that is in CAD/KG. Thanks!
Tom Holt
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Getting the ratio of X and Y with different powers

I am given a relation that $3X^3 = 2Y^2$ I then have to find the ratio of $X : Y$ To me, the first steps would be the following: Divide by two: ${3X^3\over2} = {2Y^2\over2}$ ${3\over2}X^3 = Y^2$ Then square root: $\sqrt{{3\over2}X^3} =…
Ethan
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How to solve this type of ratio problem?

The ratio of balls in three boxes is $6:8:9$. In what ratio should the balls in the second and third boxes be increased, so that the final ratio becomes $1:3:4$?​ To have a $1:3:4$ ratio, I think I need to change the given ratio to $6:18:24$. That…
Gaurav Chaudhry
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Quantizing numbers with ratios

Consider two lamps with the same maximum brightness but: the first lamp has a dial accepting discrete values ranging from 0 (off) to 360 (full brightness), and the second lamp has a dial accepting discrete values from 0 to 100. Given any value for…
Richie Bendall
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How could be given two ratios are equivalent?

I'm currently learning Maths and got interested in Ratios. Currently, I'm going through equivalent ratio lesson and found that to be magical somehow. I am impressed that given two ratios can have same value, but I don't know how is it possible and I…
codespeare
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When do two quantities follow the unitary method?

I was learning about angle systems and encountered this simple argument : $$90^o = 1 \text{ right angle }$$ $$\implies 1^o = \Bigg(\dfrac{1}{90}\Bigg)^{th} \text{ of a right angle}$$ Seems obvious, doesn't it? This got me wondering : "When do two…
Rajdeep Sindhu
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Expressing RGB color Hue as Green-pivoted ratio of Red and Blue components?

I am coding software where I want to compare color hues by ratios of Red and Blue to Green, avoiding the usual Hue calculation in the HSV/HSL color models, because that calculation involves tests for predominant color. For example, in an orangey…
Theo d'Or
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Ratio problem , removing trees in a neighborhood

Im working on some ratio problems in the algebra section of my book. The problem is $99 $% of the trees in our neighborhood are eucalyptus trees. The town planning commission wants to get rid of some of these trees because they spread too quickly.…
Bing Chilling
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How to divide an amount to 3 ratios

I am making a budget calculator program. In it, the user will select the importance of food, housing, comfort from an IMPORTANCE scale of 1 - 5. After that they will provide a budget.I will divide the budget based on how important each thing is for…
ckaepie
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What is the whole purpose of doing componendo and Dividendo

Why do we do that?? Componendo and Dividendo is used quite often in mathematics but I cannot figure out the reason for which we do that.
user749744
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Reveal the hidden meaning of an index

I am an GIS coordinator currently working with satellite data which we use to present ecological maps. The satellite images which we get given are usually some sort of index which has various meanings to the trained individual for example the…
Robert Buckley
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Percentage/ratio difference when comparing different sizes specific terminology

Given 2 amounts: 101,000,000.00 and divide by 100,000,000.00 * 100 we get 101.00 Then if we take and subtract 50 million from both: 51,000,000.00 and divide by 50,000,000.00 * 100 we get 102.00 Is there a specific term to describe the difference…
SPE
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How do I deduce the ratio of $AB:BC:CD$?.

The line segment is given and points $A,B,C,D$ are marked on the line segment(endpoints of it are A,D respectively and $ B < C $) . So there are $3$ segments at the line segment and We know the $2$ following ratios. $AC:CD=1:s$ $AB:BD=t:1$ $s,t >…
user738488
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