Question

There are total 23 coins of rs 1 rs 2 and rs 5 in a bag .If there value is rs 43 and the ratio of coins of rs 1 and rs 2 is 3:2 .Then number of coins of rs 1 is

Answer 1

Answer:

Number of one rupee coins is 12

Step-by-step explanation:

Let x, y and z be number of coins in each category Re.1, Rs.2 and Rs. 5 respectively.

As per given data, we get

x+y+z=23......................(1)

x+2y+5z=43..................(2)

x:y=3:2

$y=\frac{2x}{3}$.........(3)

using (3) in (1) and (2)we get

$x+\frac{2x}{3}+z=23$

$x+2(\frac{2x}{3})+5z=43$

5x+3z=69...................(4)

7x+15z=129...............(5)

25x+15z=345

subtracting , we get

-18x=-216

x= 12

Answer 2

Answer:

12

Step-by-step explanation: