Answer :
Answer:
The number of adult tickets is 371.
The number of children's tickets is 629
Explanation:
Let A be the number of adult tickets sold and C be the number of children's tickets sold. The following linear system can be modeled based on the information provided:
[tex]A+C=1,000\\8.25A+4.75C=6,048.50[/tex]
Solving the linear system:
[tex]8.25A -4.75A+4.75C-4.75C=6,048.50-4,750\\A=\frac{1,298.50}{3.5}\\A=371\\C=1000-371\\C=629[/tex]
The number of adult tickets is 371.
The number of children's tickets is 629.
Answer:
Number of adult tickets is 371
Explanation:
Let us assume the number of adult tickets sold is x
number of children's tickets sold is y
We have the following simultaneous equations:
(1) x + y = 1000
(2) 8.25x + 4.75y = 6048.5
Substitue the value of x from equation (1) (x = 1000-y) into equation (2), we have the following equation:
8.25 x (1000-y) + 4.75y = 6048.5
8250 - 8.25y + 4.75y = 6048.5
--> 3.5y = 2201.5
--> y = 629 --> x = 1000 - 629 = 371
Number of adult tickets sold is 371. Number of children tickets sold is 629.