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Solution


Q.

From Bengaluru bus stand, if Riddhima buys 2 tickets to Malleswaram and 3 tickets to Yeswanthpur, then the total cost of the tickets is Rs 46; but if she buys 3 tickets to Malleswaram and 5 tickets to Yeswanthpur, then the total cost is Rs 74.

Consider the fares from Bengaluru to Malleswaram and that to Yeswanthpur as Rs x and Rs y respectively and answer the following questions:

(iii) (a) What is the fare from Bengaluru to Malleswaram
1 8  
2 5  
3 4  
4 3  

Ans.

(1)

(a) We have, 2x + 3y = 46 ...........(i)

          3x + 5y = 74 ...........(ii)

Multiplying (i) by 5 and (ii) by 3, then

          10x + 15y = 230

          9x + 15y = 222

Subtracting, we get

          10x – 9x = 230 – 222 ⇒ x = 8

∴ Fare from Bengaluru to Malleswaram is ?8.