Final answer:
The total number of coins in the bag is 205.
Step-by-step explanation:
To find the total number of coins in the bag, we can start by calculating the total value of the coins. Since the coins are in the ratio 5:9:4, we can represent the value of each type of coin as 5x, 9x, and 4x, respectively. So, the total value of the coins is 5x + 9x + 4x = 18x.
We are given that the total value of the coins is Rs. 206, so we can set up the equation 18x = 206. Solving this equation, we find x = 11.4.
Now, we can calculate the total number of coins by multiplying the ratio by the value of x. The total number of coins is 5x + 9x + 4x = 5(11.4) + 9(11.4) + 4(11.4) = 57 + 102.6 + 45.6 = 205.2. Since we can't have a fraction of a coin, the total number of coins in the bag is 205.