Math

A gasoline tank is 1/6 full. When 21 liters of gasoline were added, it became 3/4 full. How many more liters more is needed to fill it?

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asked by kelsey
  1. Let the capacity of the tank be x litres
    (1/6)x + 21 = (3/4)x
    solve for x to find the capacity of the tank.

    I am sure you can take it from there, e.g.
    1/6 of the tank is ...
    then 21 litres were added, how many more are
    needed to fill it ?

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    posted by Reiny
  2. V = Volume of tank

    A gasoline tank is 1/6 full. When 21 liters of gasoline were added, it became 3/4 full mean:

    ( 1 / 6 ) V + 21 = ( 3 / 4 ) V


    ( 1 / 6 ) V + 21 = ( 3 / 4 ) V

    Subtract ( 1 / 6 ) V to both sides

    21 = ( 3 / 4 ) V - ( 1 / 6 ) V

    ___________
    Remark:

    3 / 4 = 9 / 12

    1 / 6 = 2 / 12
    __________

    21 = ( 9 / 12 ) V - ( 2 / 12 ) V

    21 = ( 7 / 12 ) V

    Multipy both sides by 12

    21 * 12 = 7 V

    252 = 7 V

    Divide both sides by 7

    252 / 7 = V

    36 = V

    V = 36 liters

    36 liters - 21 liters = 15 liters

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    posted by Bosnian
  3. The question was , "How many more litres are needed to fill it?

    the tank holds 36 litres, we both have that
    it already holds (1/6)(36) or 6 L
    21 more are added, so now we have 27 L, which is 3/4 of the tank,
    so 9 more litres are needed to fill it.

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    posted by Reiny

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