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:

(i) Find the algebraic equation which represents the first situation.

1 46  
2 45  
3 44  
4 40  

Ans.

(1)

1st situation can be represented algebraically as 2x + 3y = 46.