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6 May, 03:47

One tank of gasoline has an octane rating of 140 and another tank of gasoline has an octane rating of 80. to obtain a mixture of 60 gallons with an octane rating of 120, how many gallons should be used from the tank with the octane rating of 80?

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  1. 6 May, 04:29
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    Call x the volume of gas whose octane rating is 140 and y the volume of gas whose octane rating is 80, then:

    (1) x*140 + y*80 = 60*120, and

    (2) x + y = 60

    from (1) 140x + 80y = 7200 = > (3) 7x + 4y = 360

    from (2) - - - > (4) 4x + 4y = 240

    Subtract (4) from (3)

    7x - 4x = 360 - 240

    3x = 120

    => x = 120/3 = 40

    => y = 120 - 40 = 80

    Answer: should be used 80 gallons from tank with the octane rating of 80
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