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📈 Chapter 13: Two Variables, One Line • Exercise Set 13.4

Verified step-by-step solutions for your class notes.

Q1

Given below are some everyday situations. Construct a pair of linear equations in two variables for each situation:
Let the cost of one movie ticket be ₹x and the cost of one snack box be ₹y.
(i) On the first day, the family buys 2 movie tickets and 3 snack boxes for ₹850.
(ii) On the second day, the family buys 4 movie tickets and 1 snack box for ₹1100.

Answer:
(i) $2x + 3y = 850$
(ii) $4x + 1y = 1100$

Q2

Let the fixed charge for one taxi trip be ₹x and the additional charge per kilometre be ₹y.
(i) Sahil travelled 6 km and paid a total fare of ₹122.
(ii) Meena travelled 8 km and paid a total fare of ₹160.

Answer:
(i) $x + 6y = 122$
(ii) $x + 8y = 160$

Q3

In a sports meet, tickets for adults cost ₹150 each and tickets for children cost ₹100 each. A total of 200 people attended the meet, and the total amount collected from ticket sales was ₹25,000. (Let the number of adult tickets sold be x and the number of children's tickets sold be y).

Answer:
Total people equation: $x + y = 200$
Total amount equation: $150x + 100y = 25000$