Question

In a factory the ratio of salary of skilled and unskilled workers is 5.3total salary of day of both of then is Rs. 720find daily wages of skilled and unskilled workers

Answer 1

Let the salary of Skilled worker be x and that of unskilled worker be y.

It is given that the ratios of skilled and unskilled worker is 5:3

So,

x/y=5/3

3x=5y

y=3x/5 [consider it equation number (i)]

Now, x+y=720

x+3x/5=720 [from equation(i)]

Taking LCM

5x+3x/5=720

8x=720*5

x=720*5/8

x=450

put this value of x in equation (i)

y=3*450/5

y=270

Answer 2

Answer:

The daily wages of skilled workers are

₹ 450.

The daily wages of unskilled workers are

₹ 270.

Step-by-step-explanation:

Let the daily wages of skilled and unskilled workers be ₹ x and ₹ y respectively.

From the first condition,

$\frac{x}{y} = \frac{5}{3}$

3x = 5y

$\therefore{3x-5y=0}$ ... ( 1 )

From the second condition,

${x + y = 720}$ ... ( 2 )

Multiplying equation ( 2 ) by 5,

${ 5x + 5y = 3600}$ ... ( 3 )

Adding equations ( 1 ) and ( 3 )

${3x - 5y = 0} \:... ( 1 )$

${+ 5x + 5y = 3600} \:... ( 3 )$

________________

${8x = 3600}$

$\therefore{x}=\frac{3600}{8}\\\\ \therefore\boxed{x = 450}$

Substituting ${x = 450}$ in equation ( 2 ),

${450 + y = 720}\\\\\therefore{y = 720 - 450}\\\\\therefore\boxed{y = 270}$

Ans.: The daily wages of skilled workers are

₹ 450.

The daily wages of unskilled workers are

₹ 270.

Additional Information:

1. Linear Equations in two variables:

The equation with the highest index ( degree ) 1 is called as linear equation. If the equation has two different variables, it is called as 'linear equation in two variables'.

2. Solution of a Linear Equation:

The value of the given variable in the given linear equation is called the solution of the linear equation.

3. Stpes to solve word problems based on linear equations in two variables:

1. Understand the information given in the problem.

2. Identify the required quantities given and to find.

3. Convert the words into symbols by using variables ( x, y, a, b ).

4. Solve the equations formed step-by-step.

5. Write the value of variables ( solution of equation ) in words ( as asked in the question ).