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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.
Solution
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 |
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