In the given problem, apply your knowledge in algebraic and basic mathematics specially in ratio, fraction and simplifying equation.
Given:
length of 20 1/4 m
ratio 2:3
Solution
You can solve this problem in two methods.
First Method: System of linear equation
2:3 = x:y and x + y = 20 ¼
2/3 = x/y → 2y = 3x
2y = 3x
x+y = 20 ¼
Through substitution, x = 20¼ - y
2y = 3x
2y = 3(20¼ - y)
2y = 243/4 - 3y
2y + 3y = 243/4
5y = 243/4
y = 243/4 ÷ 5
y = 12.15 meters
x = 20¼ - 12.15
x = 8.1 meters
Second Method: Ratio and Proportional
2:3 = 2x:3x
x is the constant value since it was directly proportional.
Find x
5x = 20¼ → x = 4.05
2x = 8.1
3x = 12.15
The new ratio is 2:3 = 8.1:12.15
Thus, 8.1 meters and 12.15 meters.
Answer: 8.1 meters and 12.15 meters.
Learn more about ratio and fraction here at https://brainly.ph/question/8809400
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