Question

in a bag there are 50 paise coins Rs 1 coins and Rs 2 coins . The total value of these coins is Rs 30 . If the number of Rs 2 coins is half the number of Rs 1 coins which is half the number of 50 paisa coins, then find the number of each type of coin​

Answer 1

Step-by-step explanation:

Solution : Let the number of 50 paise coins, Rs 1 coins, and Rs 2 coins in the bag be `f, theta, and t`, respectively. <br> Total value (in Rs) `= (50)/(100) f + 1 theta + 2t = 30` <br> `(f)/(2) + theta + 2t = 30` <br> `t = (theta)/(2) and theta = (f)/(2)` <br> `:. 2t = theta = (f)/(2)` <br> `(1) rArr theta + theta + theta = 30` <br> `:. 3 theta = 30 rArr theta = 10`