Question

There were 654 tickets sold for a basketball game. The activity cardholders' tickets cost 1.5 and the non-cardholders' tickets cost 2.00. the total amount of money collected was 1171.50. how many of each kind of tickets were sold.

Answer 1

x = activity cardholders
y = non-cardhoolders

x + y = 654 tickets
1.50x + 2.00y = 1171.50

x = 654 - y

1.50(654-y) + 2.00y = 1171.50
981 - 1.50y + 2.00y = 1171.50
981 + .50y = 1171.50
.50y = 190.5
y = 381

x + 381 = 654
x = 273

273 activity cardholders
381 non-cardholders

273(1.50) + 381(2.00) = 1171.50
409.50 + 762 = 1171.50
1171.5 = 1171.50