Question

A bag contains three types of coins namely re.1 re.2 and re.5. There are 30 coins amounting to rs.100.Find no. Of coins in each category using matrices

Answer 1

Answer:

5rs      2rs      1rs

14        14         2

15        10         5

16         6         8

17         2          11

Step-by-step explanation:

A bag contains three types of coins namely re.1 re.2 and re.5. There are 30 coins amounting to rs.100

Let say Rs 5 coins  = x

2 rs coins   = y

1 rs coins  = 30 - x - y

Value of 5 rs coins = 5x  rs

Values of 2rs coins  = 2y   rs

Values of 1 rs coins = 30 - x - y  Rs

Value of all coins = 5x + 2y + 30 - x - y

= 4x + y + 30

=> 4x + y + 30 = 100

=> 4x + y = 70

x + y  < 30

=> 3x  >  40

x = 14   y = 14     Rest 2  

x = 15   y=   10    rest 5

x = 16   y =  6     rest  8

x = 17   y = 2      Rest  11

5rs      2rs      1rs

14        14         2

15        10         5

16         6         8

17         2          11