How many of each tour package were sold.

Question

A tour director collected $258 for 13 tour packages. Tour package A costs $18 and tour package B costs $22

Answer 1

A+B = 13

 

18A + 22B = 258

 

18A + 22(13 - A) = 258

 

18A + 286 - 22A  = 258

 

286 - 4A  = 258

 

-4A = 258 - 286

 

-4a = -28

 

a = 7

 

7 of the tour A packages and 6 of the tour B packages