Answer:
Tickets to sit on the bench (b) = 150
Tickets to sit on the lawn (l) = 200
Step-by-step explanation:
Tickets to sit on a bench (b)cost $75 each.
Tickets to sit on the lawn (l) cost $40 each
350 tickets had been sold
$19,250 had been raised through tickets sales
This forms a simultaneous equation:
b + l = 350 ... (i)
75b + 40l = 19,250 ... (ii)
Multiplying (i) by 40 and (ii) by 1 we get;
40b + 40l = 14,000 ... (i)
75b + 40l = 19,250 ... (ii)
Subtracting (ii) - (i) we get;
35b = 5250
b = 5250 ÷ 35 = 150
So there were 150 tickets to sit on a bench and 350 - 150 = 200 tickets to sit on the lawn.
