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