Question

A man has rs. 50 in 50 p and 25 p coins. all the 50 p coins are worth as much as all the 25 p coins. how many coins of each he has

Answer 1

as they worth equal,
they should be in 1:1 ratio
so,they worth rs.25 each
so 50 paise coins=25*2=50 coins
25 paise coins=25*2*2=100 coins

Answer 2

⇒ Let the number of 50 p coins = x

⇒ Number of 25 p coins = y

According to the given condition ,

⇒ 50x + 25y = 5000

⇒2x + y = 200 ----(1)

⇒ And, 50x = 25y

⇒ 2x = y ----(2)

⇒ From equation (1) and (2), we get

⇒ 2x + 2x = 200

⇒ 4x = 200

⇒ x = 50

⇒ Put x = 50 in equation (2)

⇒ 2x = y

⇒ 2(50) = y

⇒ We will get y = 100

⇒ 50 p coins = 50

⇒ 25 p coins = 100.