Question

a man has a total of 124 coins of 20 paisa and 25 paisa. if the total value of those coins is rs. if there are 28, how many coins of 20 paise will be there?

Answer 1

To find the number of coins of 20 paise, we solve a system of equations. We assume x represents the number of coins of 20 paise and y represents the number of coins of 25 paise. Solving the equations, we find x = 60, so there are 60 coins of 20 paise.

Step-by-step explanation:

Let's assume the number of coins of 20 paise is x and the number of coins of 25 paise is y.

According to the given information, we have the following equations:

• x + y = 124 - equation (1)
• 0.20x + 0.25y = 28 - equation (2)

We can solve these equations to find the value of x, which represents the number of coins of 20 paise.

Multiplying equation (1) by 0.20, we get:

• 0.20x + 0.20y = 24.8 - equation (3)

Subtracting equation (3) from equation (2) gives:

• 0.25y - 0.20y = 3.2

Simplifying, we have:

• 0.05y = 3.2

Dividing both sides by 0.05, we find:

• y = 64

Substituting the value of y back into equation (1), we can solve for x:

• x + 64 = 124
• x = 60

Therefore, there are 60 coins of 20 paise.