Question

there are hundred coins ,of which some are 2 rupee coins and the remaining are ₹ 5 coins in a box. if the total amount in the box is ₹ 410, the number of ₹ 5 coins is
explain​

Answer 1

Answer:

Number of Rupees 5 coins = 70

Step-by-step explanation:

Given,

Let the number of 2 rupee coins be = x

Let the number of 5 rupee coins be = y

Number of coins = 100

                            = x+y = 100

                            = y = 100-x ----(1)

Amount of 2rs coins = 2x

Amount of 5rs coins = 5y

Total amount = Rs.410

= 2x+5y = 410 ----(2)

Substitute Equation 1 in 2

= 2x+5(100-x) = 410

= 2x +500-5x = 410

= 5x-2x = 500-410

= 3x = 90

= x = 90/3

= x =30   (Number of Rupees 2 coins)

We know,

x+y=100

30+y=100

y=100-30

y=70      (Number of Rupees 5 coins)