# Example 14

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Example 14 From a bus stand in Bangalore , if we buy 2 tickets to Malleswaram and 3 tickets to Yeshwanthpur, the total cost is Rs.46; but if we buy 3 tickets to Malleswaram and 5 tickets to Yeshwanthpur the total cost is Rs 74. Find the fares from the bus stand to Malleswaram, and to Yeshwanthpur. Let the price of 1 ticket to Malleswaram = x & price of 1 ticket to Yeshwanthpur = y Given that, if we buy 2 tickets to Malleswaram and 3 tickets to Yeshwanthpur, the total cost is Rs.46 2x + 3y = 46 Also, if we buy 3 tickets to Malleswaram and 5 tickets to Yeshwanthpur the total cost is Rs 74 3x + 5y = 74 So, our two equations are 2x + 3y = 46 ….(1) 3x + 5y = 74 …(2) We will solve these by cross-multiplication For cross-multiplication 2x + 3y – 46 = 0 3x + 5y – 74 = 0 Now, 𝑥/8 = 1/1 x = 8 × 1 ∴ x = 8 Therefore, x = 8 , y = 10 is the solution of our equation Hence, Fare to Malleswaram = Rs 8 Fare to Yeshwanthpur = Rs 10

Example 6
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Example 10 Important

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Example 14 Important You are here

Example 19 Important

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Ex 3.5, 2 Important

Ex 3.6, 1 (i) and (ii) Important

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Ex 3.6, 1 (vii) and (viii) Important

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Class 10

Important Questions for Exam - Class 10

- Chapter 1 Class 10 Real Numbers
- Chapter 2 Class 10 Polynomials
- Chapter 3 Class 10 Pair of Linear Equations in Two Variables
- Chapter 4 Class 10 Quadratic Equations
- Chapter 5 Class 10 Arithmetic Progressions
- Chapter 6 Class 10 Triangles
- Chapter 7 Class 10 Coordinate Geometry
- Chapter 8 Class 10 Introduction to Trignometry
- Chapter 9 Class 10 Some Applications of Trignometry
- Chapter 10 Class 10 Circles
- Chapter 11 Class 10 Constructions
- Chapter 12 Class 10 Areas related to Circles
- Chapter 13 Class 10 Surface Areas and Volumes
- Chapter 14 Class 10 Statistics
- Chapter 15 Class 10 Probability

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.