Question

Mr. Rajesh has ₹ 1800 to spend on fruits for a meeting. Grapes cost ₹ 160/kg llnd peaches ₹ 200/kg. Let x and g represent the number of kilogrames of grapes and peaches he can buy. Write the graph of an inequation to model the amounts of grapes and peaches he can buy within his budget. 

Answer 1

Let the cost of grapes = ₹ 150/kg 

Let x kg of grapes be bought.

∴ Total cost of grapes = 150x 

The cost of peaches be  ₹ 200/kg 

Let y kg of peaches be bought. 

∴ Total cost of peaches = 200y 

∴ Total expenses is 150x + 200y ≤ 1800 

or 3x + 4y ≤ 36 

Graphical solution 

3x+ 4y = 36 

x	0	12
y	9	0

(0, 9)  (12, 0) 

Equation	Inequation	Point	Side
3x + 4y = 36	3x + 4y ≤ x	(12 , 0) (0 ,9)	origin