A boy has a few coins of denominations 50 paise, 25 paise and 10 paise in the ratio 1 : 2 : 3. if the total amount of the coins is rs. 6.50, the number of 10 paise coins is?. Created by Rishi007G.

A boy has a few coins of denominations 50 paise, 25 paise and 10 paise in the ratio 1 : 2 : 3. if

Answer:

To solve this problem using the word problem solution method, we can follow these steps:

Step 1: Set up the ratios

The given ratio of the number of coins is 1:2:3 for 50 paise, 25 paise, and 10 paise coins, respectively.

Step 2: Assign variables

Let's assign variables to represent the number of coins in each denomination.

Let the number of 50 paise coins be x.

The number of 25 paise coins would be 2x.

The number of 10 paise coins would be 3x.

Step 3: Calculate the total value

The total value of the coins can be calculated by multiplying the number of coins by their respective denominations and adding them together.

Total value = (50 paise * x) + (25 paise * 2x) + (10 paise * 3x)

Step 4: Convert the total amount to rupees

Given that the total amount is Rs. 6.50, we need to convert it to paise for the calculation.

Total amount = Rs. 6.50 * 100 = 650 paise

Step 5: Set up the equation

Equating the total value to the total amount, we have:

(50 * x) + (25 * 2x) + (10 * 3x) = 650

Step 6: Solve the equation

Simplifying the equation:

50x + 50x + 60x = 650

160x = 650

x = 650/160

x ≈ 4.06

Since we cannot have a fraction of a coin, we round x to the nearest whole number, which is 4.

Step 7: Calculate the number of 10 paise coins

The number of 10 paise coins is 3x, so:

Number of 10 paise coins = 3 * 4 = 12

Therefore, the number of 10 paise coins is 12.