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The first part of this answer is algebraic; see the example below for how it works out in practice.
Suppose you have a total quantity N that you want to divide in the ratio a:b:c.
Add a, b and c that is, a+b+c = s.
Calulate N/s, the value of each unit in the ratio.
then a*(N/s), b*(N/s) and c*(N/s) are the required amounts.
Example:
Divide 60 sweets in the ratio 2:3:5
N = 60
s = 2+3+5 = 10
therefore N/s = 60/10 = 6.
[Therefore, each 1 in the ratio is worth 6 sweets].
The required division of the sweets is 2*6, 3*6 and 5*6 = 12, 18 and 30.
This process can be extended to dividing quantities into ratios comprising four or more numbers in an analogous fashion.
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What is to compare two quantities that have the same type of units?
You can subtract them or divide them. If you subtract them, the result is their difference. If you divide them, the result is their ratio.
What is the definition of the golden ratio?
Given two quantities, when the ratio of the larger quantity to the smaller one is equal to the ratio of the sum of the quantities to the larger one, then the ratio is said to be the golden (or divine) ratio. Said another way, given two quantities (a and b), a is to b as a plus b is to a. Expressed symbolically: a : b :: a + b : a Expressed algebraically, it looks like this: a/b = (a + b)/a, where a > b. The golden ratio is approximately 1.6180339887.
What does the golden ratio means?
In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.
A comparison of two quantities by division?
ratio
How to find the value of X in any given ratio?
cross multiply and divide or cross products
What is to compare two quantities that have the same type of units?
You can subtract them or divide them. If you subtract them, the result is their difference. If you divide them, the result is their ratio.
What is the definition of the golden ratio?
Given two quantities, when the ratio of the larger quantity to the smaller one is equal to the ratio of the sum of the quantities to the larger one, then the ratio is said to be the golden (or divine) ratio. Said another way, given two quantities (a and b), a is to b as a plus b is to a. Expressed symbolically: a : b :: a + b : a Expressed algebraically, it looks like this: a/b = (a + b)/a, where a > b. The golden ratio is approximately 1.6180339887.
What does the golden ratio means?
In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.
How a rate is a measure of one quantity per unit of another quantity?
That's basically what rate means - a comparison of two proportional quantities.
A comparison of two quantities by division?
ratio
How to find the value of X in any given ratio?
cross multiply and divide or cross products
What are quantities that have a constant ratio or rate?
[Directly] proportional quantities.
What are ratios of equal quantities?
The ratio of two equal quantities is 1 .
Ratio that compares 2 quantities measured in different units?
ratio that compares 2 quantities measured in diiferent units
Is there a silver ratio if there's a golden ratio?
yes, if the golden ratio is ((square root 5) +1)/2, then the silver ratio is (square root 2) +1. as the golden ratio is represented by phi, the silver ratio is represented by deltas. as two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger quantity is equal to the ratio of the larger quantity to the smaller one, two quantities are in the silver ratio if the ratio between the sum of the smaller plus twice the larger of those quantities and the larger one is the same as the ratio between the larger one and the smaller.
What is a ratio between two different quantities?
The ratio between two different quantities is the rate.Usually, the second unit is a measure of time.
What is the quotient of two quantities called?
The quotient of two quantities called a ratio.
