The lacrosse team is hosting a dance as a fundraiser. They sold 38 more individual tickets than couples tickets and earned a total of $730. Write and solve a system of equations to represent this situation.

X=ind tickets

y=coup. tickets x = 38 + y ← # of ticket equation

3x + 5y = 730 ← $ of equation

3 (38+y) + 5y = 730

114 + 3y + 5y = 730

114 + 8y = 730

-114 = - 114 → 8y = 616 = y = 77 → x = 38 + y → x=38 + 77 → x = 115

(115,77)

15 individual tickets and 77 couple tickets