Mathematics

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A shopkeeper mixed coffee powder worth $2.50 per kg with coffee powder worth $3.50 per kg, and sold 20 kg of the mixture at $2.80 per kg. Find the weights of the 2 grades of coffee powder that he mixed together. Explain clearly your steps of solving it.

  • Mathematics -

    Let the amount of the $2.50 coffee be x kg
    then the amount of the $3.50 coffee will be 20-x kg

    2.5x + 3.5(20-x) = 2.8(20) = 56
    times 10
    25x + 35x(20-x) = 560
    25x + 700 - 35x = 560
    -10x = -140
    x = 14

    He should mix 14 kg of the $2.50 and 6 kr of the $3.50 coffee.

  • Mathematics -

    Weight of $2.50 coffee be x kg
    Weight of $3.50 coffee be y kg
    2.5x+3.5(20-x)= 2.8(20)
    2.5x+700-3.5x=56
    -x=56-70
    x=14
    14 kg of $2.50 coffee
    20-14kg of $3.50 coffee
    Thus
    14 kg of $2.50 coffee
    6kg of $ 3.50 coffee

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