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Math Help - maths year six

  1. #1
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    maths year six

    trying to help son with homework!!!!!!!!!

    you have 3 ltr jug (E) and 5 ltr jug(F) how can you measure 7 pints in one jug? You can only use the two jugs?

    clueless mum
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  2. #2
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    Hello, Kelly!

    Are you sure of the wording of this problem?

    It's not reasonable at any level ... certainly not for a sixth grader!


    You have a 3-liter jug and a 5-liter jug.
    How can you measure 7 pints in one jug?
    You can only use the two jugs.
    We can not convert liters into pints by pouring water back and forth.

    . . \text{7 pints }\:=\:3.312235311 \text{ Liters} . . . . see?

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  3. #3
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    to soroban

    thanks for the reply at the end of the question it states

    7 pints = 4 litres

    but i still cant work it out
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  4. #4
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    Hello again, Kelly!

    A strange way to state the problem.
    It's both confusing and untrue . . . very misleading.

    This is a classic (old) problem.


    We have a 3-liter and 5-liter jug.
    And we wish to measure 4 liters.

    Fill the 3-liter jar.
    Code:
                      *     *
                      |     |
          *     *     |     |
          |:::::|     |     |
          |::3::|     |     |
          |:::::|     |     |
          * - - *     * - - *
             3           5

    Empty the 3-liter jar into the 5-liter jar.
    Code:
                      *     *
                      |     |
          *     *     |     |
          |     |     |:::::|
          |     |     |::3::|
          |     |     |:::::|
          * - - *     * - - *
             3           5

    Fill the 3-liter jar.
    Code:
                      *     *
                      |     |
          *     *     |     |
          |:::::|     |:::::|
          |::3::|     |::3::|
          |:::::|     |:::::|
          * - - *     * - - *
             3           5

    Empty the 3-lliter jar into the 5-liter jar
    . . until the 5-liter jar is full.
    Code:
                      *     *
                      |:::::|
          *     *     |:::::|
          |     |     |::5::|
          |     |     |:::::|
          |::1::|     |:::::|
          * - - *     * - - *
             3           5

    Empty the 5-liter jar.
    Code:
                      *     *
                      |     |
          *     *     |     |
          |     |     |     |
          |     |     |     |
          |::1::|     |     |
          * - - *     * - - *
             3           5

    Empty the 3-liter jar into the 5-liter jar.
    Code:
                      *     *
                      |     |
          *     *     |     |
          |     |     |     |
          |     |     |     |
          |     |     |::1::|
          * - - *     * - - *
             3           5

    Fill the 3-liter jar.
    Code:
                      *     *
                      |     |
          *     *     |     |
          |:::::|     |     |
          |:::::|     |     |
          |:::::|     |::1::|
          * - - *     * - - *
             3           5

    Empty the 3-liter jar into the 5-liter jar.
    Code:
                      *     *
                      |     |
          *     *     |:::::|
          |     |     |:::::|
          |     |     |::4::|
          |     |     |:::::|
          * - - *     * - - *
             3           5

    . . . . . . . . There!

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  5. #5
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    to soroban

    wow thanks so much but i do feel a bit thick now. Im sure my son will be very impressed with me

    thank you
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  6. #6
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    to soroban

    sorry to bother you but i have two other similar problems if u could help me out

    1) 1 ltr jug (a) and 1 pint jug (b)

    need to measure half pint ?

    1 litre = 1.75 pints


    2) 11 ltr jug (d) and2 gallon (c)

    need to measure 1 litre?

    2 gallons= 9 litres


    Thank you so much
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  7. #7
    Super Member

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    Lexington, MA (USA)
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    Hello, Kelly!

    I'll do the first of these.


    1) We have a 1.75-pint jug and a 1- pint jug.
    We want to measure a half-pint.

    Fill the 1-pint jug.
    Code:
                      *     *
                      |     |
                      |     |
          * - - *     |     |
          |:::::|     |     |
          |::1::|     |     |
          |:::::|     |     |
          *-----*     *-----*
             1         1.75

    Empty the 1-pint jug into the larger jug.
    Code:
                      *     *
                      |     |
                      |     |
          *     *     | - - |
          |     |     |:::::|
          |     |     |::1::|
          |     |     |:::::|
          *-----*     *-----*
             1         1.75

    Fill the 1-pint jug.
    Code:
                      *     *
                      |     |
                      |     |
          * - - *     | - - |
          |:::::|     |:::::|
          |::1::|     |::1::|
          |:::::|     |:::::|
          *-----*     *-----*
             1         1.75

    Pour the 1-pint jug into the larger jug
    . . until the larger jug is full.
    Code:
                      * - - *
                      |:::::|
                      |:::::|
          *     *     |:::::|
          |     |     |:1.75|
          | - - |     |:::::|
          | 0.25|     |:::::|
          *-----*     *-----*
             1         1.75

    Empty the larger jug.
    Code:
                      *     *
                      |     |
                      |     |
          *     *     |     |
          |     |     |     |
          | - - |     |     |
          | 0.25|     |     |
          *-----*     *-----*
             1         1.75

    Empty the 1-pint jug into the larger jug.
    Code:
                      *     *
                      |     |
                      |     |
          *     *     |     |
          |     |     |     |
          |     |     | - - |
          |     |     | 0.25|
          *-----*     *-----*
             1         1.75

    Fill the 1-pint jug.
    Code:
                      *     *
                      |     |
                      |     |
          * - - *     |     |
          |:::::|     |     |
          |::1::|     | - - |
          |:::::|     | 0.25|
          *-----*     *-----*
             1         1.75

    Empty the 1-pint jug into the larger jug.
    Code:
                      *     *
                      |     |
                      |     |
          *     *     | - - |
          |     |     |:::::|
          |     |     |:1.25|
          |     |     |:::::|
          * - - *     * - - *
             1         1.75

    Fill the 1-pint jug.
    Code:
                      *     *
                      |     |
                      |     |
          * - - *     | - - |
          |:::::|     |:::::|
          |::1::|     |:1.25|
          |:::::|     |:::::|
          * - - *     * - - *
             1         1.75

    Pour the 1-pibnt jug into the larger jug
    . . until the larger jug is full.
    Code:
                      * - - *
                      |:::::|
                      |:::::|
          *     *     |:::::|
          |     |     |:1.75|
          | - - |     |:::::|
          |:0.5:|     |:::::|
          * - - *     * - - *
             1         1.75

    . . . . . . . . . . There!



    The second problem takes 16 steps.
    But, by now, you should be able to work it out yourself.

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