In a bus, the cost of 2 tickets for stoppage A and 3 tickets for stopp

1.	In a bus, the cost of 2 tickets for stoppage A and 3 tickets for stoppage B is Rs 46, whereas the cost of 3 tickets for stoppage A and 5 tickets for stoppage B is Rs 74. Find the fare from stoppage A to B.
Answer» Let Fare of A = Rs x and fare of B = Rs y, then 2x + 3y = 46 3x + 5y = 74 Multiply by 3 in eq. (i) and by 2 in eq. (ii) and then subtracted (ii) from (i). 6x + 9y – 6x – 10y = 138 – 148 ⇒ -y = -10 ⇒ y = 10 putting y = 10 in equ. (i) 2x + 3 × 10 = 46 x = \(\frac { 46-30 }{ 2 }\) = 8 x = 8 Hence, fare of A Rs 8, fare of B = Rs 10.

In a bus, the cost of 2 tickets for stoppage A and 3 tickets for stoppage B is Rs 46, whereas the cost of 3 tickets for stoppage A and 5 tickets for stoppage B is Rs 74. Find the fare from stoppage A to B.

Answer»

Let Fare of A = Rs x and fare of B = Rs y, then

2x + 3y = 46

3x + 5y = 74

Multiply by 3 in eq. (i) and by 2 in eq. (ii) and then

subtracted (ii) from (i).

6x + 9y – 6x – 10y = 138 – 148

⇒ -y = -10

⇒ y = 10

putting y = 10 in equ. (i)

2x + 3 × 10 = 46

x = \(\frac { 46-30 }{ 2 }\) = 8

x = 8

Hence, fare of A Rs 8, fare of B = Rs 10.