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Math Help - Linear System

  1. #1
    Junior Member
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    Linear System

    Hey guys I've been trying to figure out this problem for awhile, but I can't seem to get an answer.

    A regular ticket costs 2.25 while a special ticket costs 3.50. Just that night there were 165 tickets sold and a profit of 448.75 made. How many of each tickets were sold?

    I chose the regular ticket as my 'x' and special as my 'y' and got this equation:
    2.25x+3.5y=448.75.
    Then I tried solving for y, but I don't think I'm doing something right as I'm getting decimals. Would I have to use the 165 tickets sold somewhere in the equation?

    Thanks for your help.
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  2. #2
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    Quote Originally Posted by Jubbly View Post
    Hey guys I've been trying to figure out this problem for awhile, but I can't seem to get an answer.

    A regular ticket costs 2.25 while a special ticket costs 3.50. Just that night there were 165 tickets sold and a profit of 448.75 made. How many of each tickets were sold?

    I chose the regular ticket as my 'x' and special as my 'y' and got this equation:
    2.25x+3.5y=448.75.
    Then I tried solving for y, but I don't think I'm doing something right as I'm getting decimals. Would I have to use the 165 tickets sold somewhere in the equation?

    Thanks for your help.
    x + y = 165 , right?
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  3. #3
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    Quote Originally Posted by skeeter View Post
    x + y = 165 , right?
    OH! Thank you so much, I didn't know you had to solve for y for that equation.
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