Nikola12idn
Answered

Suriin ang IDNStudy.com para sa malinaw at detalyadong mga sagot. Hanapin ang impormasyon na kailangan mo nang mabilis at madali sa pamamagitan ng aming komprehensibo at eksaktong platform ng tanong at sagot.

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

#CarryOnLearning

#BRAINLYFAST

Natutuwa kami na ikaw ay bahagi ng aming komunidad. Magpatuloy sa pagtatanong at pagbibigay ng mga sagot. Sama-sama tayong magtutulungan upang makamit ang mas mataas na antas ng karunungan. Salamat sa pagpili sa IDNStudy.com. Umaasa kami na makita ka ulit para sa mas maraming solusyon.