The drama club receives $3,301 by selling 376 tickets to the opening night of the musical. if the full price of a ticket is $10.75 and discount tickets for students and seniors are $6 each how many discounted senior student tickets were sold

156 senior/student tickets were sold.

Step-by-step explanation:

Create a system of equations (I used 'x' for full price people and 'y' for senior/students)

10.75x + 6y = 3,301

x + y = 376

Then solve for one variable by moving one variable to the right on the second equation:

x + y = 376 to x = 376 - y

Now plug that new equation into the first equation, where the 'x' is.

10.75(376 - y) + 6y = 3,301

Distribute 10.75 into the parentheses:

4,042 - 10.75y + 6y = 3,301

Now combine like terms:

4,042 - 4.75y = 3,301

Move 4,042 to the right to combine with 3,301:

4,042 - 4,042 -4.75y = 3,301 - 4,042

-4.75y = -741

Now divide both sides by -4.75:

-4.75y/-4.75 = -741/-4.75

y = 156

156 senior/student tickets!

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!

deez nu tz

step-by-step explanation: