Answer:
599 general admission tickets were sold while 277 reserved seats admission tickets were sold
Step-by-step explanation:
Here, we want to know the number of each types of tickets sold.
Let the number of general admission ticket be x while the number of reserved seats ticket be y
Mathematically since the total of both tickets is 876;
then;
x + y = 876 ••••••••••••(i)
The total amount of money generated from general admission is cost of general admission ticket * the number of general admission tickets sold = $2.50 * x = $2.50x
The total amount of money generated from reserved seat admission tickets sales is cost of reserved seat admission ticket * the number of reserved seats admission ticket sold = $5 * y = $5y
Adding both gives $2882.50
Thus;
2.5x + 5y = 2882.5 •••••••••(ii)
Now, from i, let’s say x = 876 -y
Let’s insert this into ii
2.5(876-y) + 5y = 2882.5
2190 -2.5y + 5y = 2882.5
2190 + 2.5y = 2882.5
2.5y = 2882.5 - 2190
2.5y = 692.5
y = 692.5/2.5
y = 277
Recall;
x = 876 -y
Thus;
x = 876 - 277 = 599
That would be $2,070 because 3.5% of 2000 is 70
So it is really easy to solve firstly we can see how much does the first 10 boxes make which makes around 55$ obviously. Secondly 45$ for the next 10 boxes.
So for now we can simply calculate that we have spent around 100$ which means 20 boxes. The remaining money left is 77$ so we can buy 77/3.5 = 22 only 22 boxes with that money. Hence a total of 42 boxes.
