131k views
5 votes
A bag contains 50p, 25p and 10p coins in the ratio 5: 9: 4, amounting to Rs. 206. The total number of coins in the bag is

A. 660
B. 700
C. 720

User Humbert
by
7.7k points

1 Answer

7 votes

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.

User Gelliant
by
8.2k points

Related questions

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.