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Thread: "When a petrol tank is 7/12 full it contains 5 1/4 gallons."

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    "When a petrol tank is 7/12 full it contains 5 1/4 gallons."

    I've been racking my brains how to solve this. Help, someone.
    When a petrol tank is 7/12 full it contains 5 1/4 gallons. How many gallons does it hold when full?

  2. #2
    Elite Member
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    What have your brain-rackings produced?

    Maybe a Ratio or Proportion would help?
    "Unique Answers Don't Care How You Find Them." - Many may have said it, but I hear it most from me.

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    Quote Originally Posted by MathsPlease View Post
    When a petrol tank is 7/12 full it contains 5 1/4 gallons. How many gallons does it hold when full?
    7/12 : 5 1/4
    1 : ?
    I'm just an imagination of your figment !

  4. #4
    Elite Member stapel's Avatar
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    Cool

    Quote Originally Posted by MathsPlease View Post
    I've been racking my brains how to solve this. Help, someone.
    When a petrol tank is 7/12 full it contains 5 1/4 gallons. How many gallons does it hold when full?
    Since you posted this to "Arithmetic", I'll assume that you don't have any experience with "Pre-Algebra" or beyond. So:

    You have tank that is 7/12 full. Draw seven boxes to correspond to this amount:

    Code:
    part-full tank:
    
    *--*--*--*--*--*--*--*
    |  |  |  |  |  |  |  |
    *--*--*--*--*--*--*--*
    You have 5 1/4 gallons in the part-full tank. When you convert this mixed number into an improper fraction, what do you get?

    Then how many gallons (it'll be a fractional amount) is in each of the boxes above? (Hint: Divide by 7.)

    How many boxes would indicate a completely full tank?

    Then how many gallons would be in a completely full tank? (Hint: Multiply.)

    If you get stuck, please reply showing your work in following the step-by-step instructions above. Thank you!

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