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

Solution:

We will use the cross multiplication to find the fares from the bus stand to Malleshwaram and to Yeshwanthpur.

Let the fare from the bus stand in Bangalore to Malleswaram be Rs x and to Yeshwanthpur be Rs y.

It is given that

2x + 3y = 46 or 2x + 3y - 46 = 0 be equation 1

3x + 5y = 74 or 3x + 5y - 74 = 0 be equation 2

⇒ x / (-222 + 230) = y / (-138 + 148) = 1 / (10 - 9)

⇒ x/ 8 = y/ 10 = 1/1

⇒ x/8 = 1/1 and y/ 10 = 1/1

⇒ x = 8 and y = 10.

The fare from Bangalore to Malleshwaram is Rs 8 and to Yeshwanthpur is Rs 10.

Summary:

The fares from the bus stand in Bangalore to Malleswaram, and to Yeshwanthpur are Rs 8 and 10 respectively

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