Patrice gomez has been pricing speed pass train fares for a family trip to los angeles. Three adults and four children have to pay $87. Two adults and three children have to pay $62. Find the price for the adult tickets and the price for the child tickets

Let the fare of adults be 'x' and that of children be 'y'

Equation Formation.

3 x + 4 y = 87 ... equation (i)

2 x + 3 y = 62 ... equation (ii)

3 x + 4 y = 87 ... * 2

2 x + 3 y = 62 ... * 3

6 x + 8 y = 174

6 x + 9 y = 186

y = 12

2 x = 62 - 3 y

2 x = 62 - 36

2 x = 26

x = 13

Answer = adults ⇒ $13

children ⇒$ 12