Word problem!!!!!

Question

Jen has in price speed past train fairs for a group trip to New York. Three adults and four children must pay $129. Two adults and three children must pay $92. Find the price of the adult ticket and the price of a child’s ticket

Answer 1

3A + 4C = 129

2A +3C = 92

multiply 1st by 2, 2nd by 3 and subtract to get C= $18= child's price

2A = 92-3C = 92-54 = 38

A = 38/2 = $19 for an adult

3(19) + 4(18) = 129

2(19) + 3(18) = 92