math
posted by cori on .
There were 654 tickets sold for a basketball game. The activity cardholders' tickets cost 1.5 and the noncardholders' tickets cost 2.00. the total amount of money collected was 1171.50. how many of each kind of tickets were sold.

x = activity cardholders
y = noncardhoolders
x + y = 654 tickets
1.50x + 2.00y = 1171.50
x = 654  y
1.50(654y) + 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 noncardholders
273(1.50) + 381(2.00) = 1171.50
409.50 + 762 = 1171.50
1171.5 = 1171.50