Question

A small seminal hall can hold 100 chairs. Three different colours ( Grey, Pink, Green ) of chairs are available. The cost of a grey chair is Rs. 240, cost of Pink chair is Rs. 260and the cost of green chair is Rs. 300. The total cost of chair is Rs. 25,000. Find atleast 2 different solution of the number of chairs in each colour to be purchased.​

Answer 1

x = number of red chairs

y = number of blue chairs

z = number of green chairs

x + y + z = 100

240x + 260y + 300z = 25000

first, assume that:

x = 60

x + y + z = 100

240x + 260y + 300z = 25000

solution:

x = number of red chairs = 60

y = number of blue chairs = 35

z = number of green chairs = 5

second, assume that:

y = 41

x + y + z = 100

240x + 260y + 300z = 25000

y = 41

solution:

x = number of red chairs = 56

y = number of blue chairs = 41

z = number of green chairs = 3

third, assume that:

z = 1

x + y + z = 100

240x + 260y + 300z = 25000

z =1

solution:

x = number of red chairs = 52

y = number of blue chairs = 47

z = number of green chairs = 1