Nikola12idn
Answered

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A rope has a length of 20 1/4 m which is to be divided in the ratio 2:3, how long will each part be?​

Sagot :

KuyaEngridn

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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