Question

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.

Answer 1

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