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

Home » CBSE Class 9 Maths » Case Study Questions for Class 9 Maths » Case Study Questions for Class 9 Maths Chapter 4 Linear Equations in Two Variables

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 ‘x’ kgs. of tomato and ‘y’ 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 ‘x’ kgs of tomato and 2.5 kgs. of potato, then find the value of ‘x’.
(a) 5
(b) 2
(c) 3
(d) 4

(iii) If Anil bought ‘2’ kgs of tomato and ‘y’ kgs of potato, then find the value of ‘y’.
(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

Answers

(i) C (ii) C (iii) A (iv) B (v) A

Check Detailed Solution

Click to Check Detailed Solution (i) The equation representing the total cost is:
(c) 5x + 2y = 20
To find this, we need to consider that the cost of ‘x’ kgs of tomatoes is 50x, and the cost of ‘y’ kgs of potatoes is 20y. The total cost is the sum of these two, which comes out to be Rs. 200.
(ii) If Anil bought ‘x’ kgs of tomato and 2.5 kgs of potato, then the equation representing the total cost would be:
Total cost = (Cost of ‘x’ kgs of tomato) + (Cost of 2.5 kgs of potato)
Total cost = (50x) + (20 * 2.5)
Total cost = 50x + 50
Given that the total cost is Rs. 200, we can set up the equation:
50x + 50 = 200
Subtract 50 from both sides:
50x = 150
Now, divide both sides by 50:
x = 3
So, the value of ‘x’ is 3. Hence, the answer is (c) 3.
(iii) If Anil bought 2 kgs of tomato and ‘y’ kgs of potato, then the equation representing the total cost would be:
Total cost = (Cost of 2 kgs of tomato) + (Cost of ‘y’ kgs of potato)
Total cost = (50 * 2) + (20y)
Total cost = 100 + 20y
Given that the total cost is Rs. 200, we can set up the equation:
100 + 20y = 200
Subtract 100 from both sides:
20y = 100
Now, divide both sides by 20:
y = 5
So, the value of ‘y’ is 5. Hence, the answer is (a) 5.
(iv) To find where the graph of the equation 5x + 2y = 20 cuts the x-axis, we set y = 0 and solve for x:
5x + 2(0) = 20
5x = 20
Divide both sides by 5:
x = 4
So, the graph cuts the x-axis at the point (4, 0). Hence, the answer is (b) (4, 0).
(v) To find where the graph of the equation 5x + 2y = 20 cuts the y-axis, we set x = 0 and solve for y:
5(0) + 2y = 20
2y = 20
Divide both sides by 2:
y = 10
So, the graph cuts the y-axis at the point (0, 10). Hence, the answer is (a) (0, 10).

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4 thoughts on “Case Study Questions for Class 9 Maths Chapter 4 Linear Equations in Two Variables”

  1. Simran March 8, 2023 — 6:38 am

    Where are the answers?

    Reply
    1. Indira Panigrahi March 12, 2023 — 12:58 pm

      Answer key
      (i)(c) 5x + 2y = 20
      (ii)(c) 3
      (iii)(a) 5
      (iv)(b) (4, 0)
      (v)(a) (0, 10)

      Reply
      1. Rajput July 12, 2023 — 1:26 pm

        Hlo sir I have doubt

  2. Reetika July 26, 2023 — 8:14 am

    kindly solve ii and iii part

    Reply

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