Question

a purse has 25 paise coins and 50 paise coins the number of 25 paise coins is thrice the number of 50 paise coins if the total value of money in the purse is rupees 75 find the number of 25 paise and 50 paise coins in the purse​

Answer 1

Answer :-

Number of 50 paise coins and number 25 paise coins in purse are 60 and 180 respectively.

Explanation :-

Let the number of 50 paise coins be x

Number of 25 paise coins = thrice the number of of 50 paise coins = 3 * x = 3x

Value of all 50 paise i.e Rs. 1/2 coins in purse = 1/2 * Number of 50 paise coins = 1/2 * 3x = Rs. x/2

Value of all 25 paise i.e Rs. 1/4 coins in purse = 1/4 * Number of 25 paise coin is = 1/4 * 3x = Rs. 3x/4

Total value of money in the purse = Rs. 75

Value of all 50 paise coins in purse + Value of all 25 paise coins in purse = Rs. 75

$\sf \implies \dfrac{x}{2} + \dfrac{3x}{4} = 75 \\ \\ \\ \tt \underline{taking \ LCM} \\ \\ \\ \sf \implies \dfrac{x(2) + 3x}{4} = 75 \\ \\ \\ \sf \implies \dfrac{2x + 3x}{4} = 75 \\ \\ \\ \sf \implies \dfrac{5x}{4} = 75 \\ \\ \\ \sf \implies 5x = 75 \times 4 \\ \\ \\ \sf \implies 5x = 300 \\ \\ \\ \sf \implies x = \dfrac{300}{5} \\ \\ \\ \sf \implies x = 60$

i.e Number 50 paise coins = 60

Number of 25 paise coin = 3x = 3(60) = 180

Therefore number of 50 paise coins and number 25 paise coins in purse are 60 and 180 respectively.

Answer 2

Answer:

no. of 50 paise coins and no. of 25 paise coins in purse are 60 and 180 respectively.