## Case Study Questions for Class 9 Maths Chapter 4 Linear Equations in Two Variables

**Case Study Questions**

**Question 1:**

Anil went to buy some vegetables, he bought â€˜xâ€™ kgs. of tomato and â€˜yâ€™ kgs. of potato. The total cost of vegetables comes out to be of Rs. 200. Now if the cost of 1 kg of tomato is Rs. 50 and 1 kg of potato is Rs. 20, then answer the following questions.

(i) Which of the following equations represent the total cost.

(a) 5x – 2y = 20

(b) 5y + 2x = 20

(c) 5x + 2y = 20

(d) 2x + 5y = 20

(ii) If Anil bought â€˜xâ€™ kgs of tomato and 2.5 kgs. of potato, then find the value of â€˜xâ€™.

(a) 5

(b) 2

(c) 3

(d) 4

(iii) If Anil bought â€˜2â€™ kgs of tomato and â€˜yâ€™ kgs of potato, then find the value of â€˜yâ€™.

(a) 5

(b) 2

(c) 3

(d) 4

(iv) The graph of 5x + 2y = 20 cuts x-axis at the point.

(a) (10, 0)

(b) (4, 0)

(c) (0, 0)

(d) it is parallel to x-axis

(v) The graph of 5x + 2y = 20 cuts y-axis at the point.

(a) (0, 10)

(b) (0, 4)

(c) (0, 0)

(d) it is parallel to y-axis

Where are the answers?

Answer key

(i)(c) 5x + 2y = 20

(ii)(c) 3

(iii)(a) 5

(iv)(b) (4, 0)

(v)(a) (0, 10)