On The First Day Of Ticket Sales The School Sold 10 Senior Citizen Tickets And 5 Student Tickets For A Total?

on the first day of ticket sales the school sold 10 senior citizen tickets and 5 student tickets for a total of $190. The school took in $141 on the second day by selling 3 senior citizen tickets and 12 student tickers. Fine the price of a child ticket.

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One Response to “On The First Day Of Ticket Sales The School Sold 10 Senior Citizen Tickets And 5 Student Tickets For A Total?”

  1. Reed says:

    x = senior tickets
    y = student tickets
    10x + 5y = 190
    3x + 12y = 141
    I’m going to use substitution here. I’ll make the bottom equation equal to x
    3x + 12y = 141
    Subtract 12y from both sides
    3x = -12y + 141
    x = -4y + 47
    Plug x into the other equation (10x + 5y = 190) and solve for y
    10(-4y + 47) + 5y = 190
    Distribute the 10 to -4y and 47
    -40y + 470 + 5y = 190
    Combine the y terms and subtract 470 from both sides
    -35y = -280
    Divide -35 from both sides
    y = 8
    Plug y into either of the equations to solve for x
    10x + 5(8) = 190
    Distribute the 5 to the 8
    10x + 40 = 190
    Subtract 40 from both sides
    10x = 150
    Divide 10 from both sides
    x = 15
    Senior tickets are $15
    Student tickets are $8

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