(1) Mathematics

Discussion in 'The Edge of the Forum' started by ComeTurismO, Apr 26, 2015.

  1. ComeTurismO
    OP

    ComeTurismO CTO

    Member
    2,939
    5,564
    Sep 18, 2011
    Canada
    4:54 PM
    VinsCool gave a visit to Lauren De Casta's soup shop. He bought 14 chicken corn soups and 12 vegetable soups. It costed him a total of $266. 2Hack went to the same shop and bought 12 chicken corn soups and 12 vegetable soups. It costed him a total of $233. How much does one serving of chicken soup cost? How much does one vegetable soup cost? Solve with elimination/substitution.


    HELP ME
     
    2Hack likes this.
  2. FAST6191

    FAST6191 Techromancer

    pip Reporter
    23,158
    8,898
    Nov 21, 2005
    Assuming the shop owner does not implement a variable pricing structure
    because I can not be bothered to type it then c = chicken and v = vegetable.
    From your description you have some simultaneous equations
    14c + 12v = 266
    12c + 12v = 233

    Rearranging to get one value by itself
    14c - 12c + 12v - 12v = 266 - 233

    2c + 0v = 2c = 33

    1c = 33/2 = 16.5

    Knowing c you can put the value in and get v by itself.

    14 * 16.5 + 12v = 266

    231 + 12v = 266

    12v = 35

    I will leave it there.
     
    VinsCool likes this.
  3. storm75x

    storm75x Remember that thing I don't remember? Yeah, that!

    Member
    633
    822
    Jan 3, 2015
    __̴ı̴̴̡̡̡ ̡͌l̡̡̡ ̡͌l̡*̡̡ ̴̡ı̴̴̡ ̡̡͡|̲͡ ̲__
    Let Chicken Corn Soup be c and Vegetable Soup be v.

    VinsCool: 14c + 12v = 266

    2Hack: 12c + 12v = 233

    Process of Elimination:
    (14c + 12v) - (12c + 12v) = 266 - 233
    2c = 33
    Therefore: c = $16.5

    12(16.5) + 12v = 233
    12v = 35
    Therefore: v ≈ $2.90

    Process of Substitution:
    12c + 12v = 233
    12c = 233 - 12v

    14c + 12v = 266
    14c + (233 - 12v) = 266
    2c = 33
    Therefore: c = $16.5

    12(16.5) + 12v = 233
    12v = 35
    Therefore: v ≈ $2.90
     
    VinsCool likes this.