A tour director collected $258 for 13 tour package tour package A cost $18 and tour package B cost $22 how many of each tour package were sold

A + b = 13 ... a = 13 - b

18a + 22b = 258

18 (13 - b) + 22b = 258

234 - 18b + 22b = 258

-18b + 22b = 258 - 234

4b = 24

b = 24/4

b = 6 ... so there were 6 tour packages from package B sold

a + b = 13

a + 6 = 13

a = 13 - 6

a = 7 ... and there were 7 tour packages from package A sold