Question

A bag contains 50p,25p,10p coins in the ratio 5:9:4 amounting to rs.206. Find the numver of coins of each type

Answer 1

Let the number of coins be 50p , 25p and 10p coins be 5x , 9x and 4x

Rupees 206 = 20600p

A.T.Q. -

5x(50) + 9x(25) + 4x(10) = 20600

or, 250x + 225x + 40x = 20600

or, 515x = 20600

or, x = 20600/515

or, x = 40

No. of 50p coins = 5x = 5×40 = 200coins

No. of 25p coins = 9x = 9×40 = 360coins

No. of 10p coins = 4x = 4 × 40 = 160 coins

Thus, there are 200 50p coins, 360 25p coins and 160 10p coins