Question

2460 concert tickets were sold for a total of $29,545 if students paid $9 and non students paid $14 how many tickets were sold to each group​

Answers

  1. The tickets sold to the students is 979 and the tickts sold to non students is 1481.
    According to the statement
    we have to find the equation which is linear  with the help of the given data.
    So, For this purpose, we know that the
    A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
    From the given statement
    Let the students buy a ticket is x
    And let the non students buy a ticket is y
    Then from the information the equation become
    x+y = 2460
    And the
    9x+14y = 29,545
    put y = 2460 -x then
    9x + 14(2460-x) = 29,545
    9x -14x+ 34440 = 29,545
    -5x = 29,545 -34440  
    -5x = -4895
    x = 979
    And the y become
    y = 2460 -x
    y = 2460 -979
    y = 1481.
    So, The tickets sold to the students is 979 and the tickts sold to non students is 1481.
    Learn more about linear expression here
    #SPJ9

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