Country A produces about 7 times the amount of diamonds in carats produce in Country B. If the total

Discussion in 'Calculator Requests' started by math_celebrity, Jan 31, 2017.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Country A produces about 7 times the amount of diamonds in carats produce in Country B. If the total produced in both countries is 40,000,000 carats, find the amount produced in each country.

    Set up our two given equations:
    1. A = 7B
    2. A + B = 40,000,000
    Substitute (1) into (2)
    (7B) + B = 40,000,000

    Combine like terms
    8B = 40,000,000

    Divide each side by 8
    B = 5,000,000

    Substitute this into (1)
    A = 7(5,000,000)
    A = 35,000,000
     

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