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 discou

Question

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

in progress 0
Harper 2 weeks 2021-09-15T00:38:30+00:00 1 Answer 0

Answers ( )

    0
    2021-09-15T00:40:07+00:00

    Answer:

    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!

Leave an answer

Browse
Browse

27:3+15-4x7+3-1=? ( )