Question

Jen Butler has been pricing​ Speed-Pass train fares for a group trip to New York.

Three adults and four children must pay $116

Two adults and three children must pay $82

Find the price of the​ adult's ticket and the price of a​ child's ticket.

Answer 1

The price of the adult's ticket is $20 and the price of a child's ticket is $14.

How to calculate the values

Let adults = a

Let children = c

The appropriate equation will be:

3a + 4c = 116

2a + 3c = 82

Multiply equation I by 2

Multiply equation ii by 3

6a + 8c = 232

6a + 9c = 246

Subtract

c = 14

Price for children = 14

Since 2a + 3c = 82

2a + 3(14) = 82

2a + 42 = 82

2a = 82 - 42

2a = 40.

a = 40/2

a = 20

Therefore, the price of the adult's ticket is $20 and the price of a child's ticket is $14.

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