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Awinemaker is adding certain amounts of wine that contain 18% alcohol and 12% alcohol. he needs to produce 30 gallons of wine with 14% alcohol . how many gallons of each kind of wine does he need? ​

Answers

  • Réponse publiée par: elaineeee

    10 gallons of wine at 18% alcohol

    20 gallons of wine at 12% alcohol

    Step-by-step explanation:

    x   <-- gallons of wine at 18% alcohol

    y   <-- gallons of wine at 12% alcohol

    z=14

    18x + 12y = 30z   <-- eq1

    x+y =30     <--  total gallons should equal 30  

    y=30-x       <-- eq2

    18x + 12(30-x) = 30(14)

    18x +360 - 12x = 420

    18x - 12x = 420 -360

    6x = 60

    x=60/6

    x = 10

    y= 30 - 10

    y= 20

    Extra

    x < y       <--  a weaker wine is cheaper , so more gallons of the weaker wine will allow more profit

  • Réponse publiée par: Grakname

    i hope this helps you


    System of linear equation by substitutionsolve the following(with solution): [tex]
  • Réponse publiée par: elaineeee

    answer:

    yes, josh's solution is correct.

    step-by-step explanation:

    this is josh’s solution for the equation x^2 + 12x + 32 = 0:

    x^2 + 12x +32 = 0

    x^2 + 12x = -32                   (32 is move to the other side that is why it became negative -32 and that is correct)

    x^2 + 12x +36 = -32 + 36       (both sides are added with 36 so that the left side could be a perfect square: the process is completing the square: adding any the same number for both sides will result to the same original equation)

    〖(x+6)〗^2 = 4           (the left side is a perfect square so it is right)

    x + 6 = ±4                           (square of any value is ± so it is right)

    x=-2                                     (get the possible values of x)

    x=-10                                          

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Awinemaker is adding certain amounts of wine that contain 18% alcohol and 12% alcohol. he needs to p...