Question

In a bag there are 5 and 2 rupee coins. If they are equal in number and their worth is ₹ 70, then 

1. The worth of x coins of ₹ 5 each ______.
2. The worth of x coins of ₹ 2 each ______.
3. The equation formed is ______.
4. There are ______ 5 rupee coins and ______ 2 rupee coins.

Answer 1

1. The worth of x coins of ₹ 5 each 5x.
2. The worth of x coins of ₹ 2 each 2x.
3. The equation formed is 2x + 5x = 70.
4. There are 10 5 rupee coins and 10 2 rupee coins.

Explanation:

Let the number of coins of ₹ 5 = x

Then, the number of coins of ₹ 2 = x

a. Number of coins of ₹ 5 = x

So, the worth of ₹ 5 of x coins = ₹ 5x

b. Similarly, the worth of 12 of x coins = ₹ 2x

c. As per the condition given in the question, If 5 and 2 rupee coins are equal in number and their worth is ₹ 70.

So, the equation is 5x + 2x = ₹ 70.

d. Consider the equation,

5x + 2x = 70

7x = 70

x = `70/7`

x = 10

There are 10 ₹ 5 coins and 10 ₹ 2 coins.