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math question???

1: 6kg of inferior quality tea are mixed with 3kg of high quality tea which costs $2.00 per kilogram more than the inferior tea. The total price of the mixture is $24.00. What is the price of the inferior tea?

$2 per kg.

$3 per kg.

$5 per kg.

$7 per kg.

11 Answers

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  • 1 decade ago
    Favorite Answer

    let the price of the inferior one be x

    then the price of the high quality tea = x + 2

    The cost of inferior = 6x

    The cost of the high quality one = 3(x+2)

    the total cost = 6x + 3(x+2) = 24

    therefore 9x + 6 = 24

    so 9x = 18

    x = 2 per Kg

    So the answer is the first one $2 per Kg

  • 1 decade ago

    $2

  • JJ
    Lv 4
    1 decade ago

    6x=inferior

    3(x+2)=high quality

    6x + 3(x+2)=24

    6x + 3x + 6=24

    9x = 18

    x=2

    6(2) + 3(4)=24

    $2 per kg=inferior

  • 1 decade ago

    let x be the cost of inferior quantity tea

    let y be the cost of high quantity tea

    6x + 3y = 24

    y = 2 + x

    6x + 3(2 + x) = 24

    6x + 6 + 3x = 24

    9x = 18

    x = 2

    $2.00 per kg

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  • 1 decade ago

    the total price of the mixture was $24.00 the total mixture is 9 kg.

    we know that the good tea is 3 kg at $2.00 per kg or totaling $6.00

    the bad tea part is $24 - $6 = $18.00

    The price of the bad tea is $19.00.

    The price per kg of the bad tea is $18.00/ 6 kg or $3.00 p[er kg

  • Anonymous
    1 decade ago

    take 3kg multiply it bye $2 and get $6

    subtract $6 from $24 and get $18

    divide 6kg by $18 and get $3

    so the answer is $3 per kg.

  • tfloto
    Lv 6
    1 decade ago

    6x+3(x+2) = 24

    6x + 3x + 6 = 24

    9x = 18

    or x = 2

    $2.00/ kg

  • x=Cost of 6kg tea

    y=Cost of 3kg tea

    6x+2(3x)=24

    12x=24

    x=2

    $2 per kilogram

  • 1 decade ago

    the answer is 3$ per kg

  • 1 decade ago

    $5 per kg. i hope that's the right answer

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