Question

A bag contains 15 coins of two-rupee and five-rupee. The total amount of the coins is Rs 45. How many coins of each find are there in the bag.

Answer 1

Let there may be x two-rupee coins in the bag.

Then No. of 5-rupee coins = 15 – x

Value of x two rupee coins = Rs 2x

Value of 5-rupee coins = Rs 5(15 – x)

According to question

⇒ 2x + 5 (15 – x) = 45

⇒ 2x + 75 – 5x = 45

⇒ 2x – 5x + 75 = 45

⇒ – 3x + 75 = 45

⇒ – 3x = 45 – 75

⇒ – 3x = – 30

⇒ x = -30/-3

⇒ x = 10

Hence, No. of 2-rupee coins = 10 and No. of 5-rupee coins = 15 – 10 = 5