A total of 547 adult and student tickets were sold for a high school musical. The ticket prices were $10 for adults and $5 for students. A total of $3,775 was collected from ticket sales. How many adult and student tickets were sold?
A.443 adult tickets and 104 student tickets
B.104 adult tickets and 443 student tickets
C.339 adult tickets and 208 student tickets
D.208 adult tickets and 339 student tickets
if you just give me the equation to solve this that would be great!
Yes, you solve for a and c : )
I would suggest re-arranging a+c=547 to a = 547 - c
then subbing that into your second equation
10a + 5c = 3775 so everywhere you see the a you sub in 547 - c
10(547 -c) = 3775
now solve for c : )
then sub your answer back into your first equation.
you already have the information you need.
a+c = 547
10a+5c = 3775
Now crank 'er out.
ok that you!
wait do i solve for a or c?
Anyone just have the answers?
To solve this problem, you can set up a system of equations using the given information.
Let's represent the number of adult tickets with 'A' and the number of student tickets with 'S'.
From the problem, we know that:
A + S = 547 (Equation 1) (The total number of adult and student tickets sold is 547)
And the total amount collected from ticket sales is $3,775, which can be represented as:
10A + 5S = 3,775 (Equation 2) (The total revenue from adult and student tickets is $3,775)
Now we have a system of equations with two unknowns (A and S). We can solve this system of equations using various methods, such as substitution or elimination.
One approach is to solve Equation 1 for A and substitute it into Equation 2.
From Equation 1: A = 547 - S
Substituting this into Equation 2:
10A + 5S = 3,775
10(547 - S) + 5S = 3,775
5,470 - 10S + 5S = 3,775
5S = 3,775 - 5,470
5S = -1,695
S = -1,695 / 5
S = 339
Now that we have the value of S, we can substitute it back into Equation 1 to find the value of A:
A + S = 547
A = 547 - S
A = 547 - 339
A = 208
Therefore, the answer is option D: 208 adult tickets and 339 student tickets were sold.