According to the concepts of percentage and proportions, we can make the simulation with 20 circles, each of them representing 125 plants. Traits A = 10 circles. Trait B = 5 circles. Trait C = 5 circles.
To solve this problem, we need to know two concepts, percentage and proportion.
What is a percentage?
A percentage can be defined as a fraction or a part of 100. It is denominated as percent (symbol %).
100 refers to the number of parts into which the unit has been divided.
So, X% means that for every 100 parts, X parts are of our interest. Or, that we are interested in X fraction from a total of 100 parts.
What is a proportion?
A proportion is the equal relationship between two determined ratios or quantities.
In the exposed example we need to represent this population of 2500 plants with circles.
We know that,
- Each circle represents 125 plants
- 50% of the population have medium-tip leaves,
- 25% have wide-tip leaves, and
- 25% have drip-tip leaves .
So here, our unit is the population. We can say that our population of 2500 plants is composed by 100 subunits or parts.
2500 plants ------------ 100 parts
So now we will calculate how many plants are represented by the 50% and 25% of the population.
If 100% of the population equals 2500 plants, how many plants are 50% of the population and 25% of the population.
100% -------------------- 2500 plants
50% -------------------- X = (50% x 2500 plants) / 100% = 1250 plants.
25% ---------------------X = (25% x 2500 plants) / 100% = 625 plants
Now we know that from the total of 2500 (100%) plants,
- 1250 (50%) have medium-tip leaves,
- 625 (25%) have wide-tip leaves, and
- 625 (25%) have drip-tip leaves.
Finally, we need to calculate how many circles represent these numbers. So, we know that 1 circle equals 125 plants. The question is, how many circles represent 2500, 1250 and 625 plants.
125 plants ----------------- 1 circle
2500 plants -------------X = (1 circle x 2500 plants) / 125 plants= 20 circles.
1250 plants --------------X = (1 circle x 1250 plants) / 125 plants = 10 circles.
625 plants ---------------X = (1 circle x 625 plants) / 125 plants = 5 circles.
So, our simulation must have 20 circles, from which
- 10 circles represent medium-tip leaved plants (Trait A),
- 5 circles represent wide-tip leaved plants (Trait B), and
- the remaining 5 circles represent drip-tip leaved plants (Trait C).
In the attached files you will find the image.
You can elarn more about percentage and proportions at
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