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30 November, 03:11

Miss Myers paid $3600 all together for the equipment furniture and decorations in a restaurant equipment cost $500 more than the furniture the cost of the furniture was twice as much is the cost of the decorations how much did equipment cost

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  1. 30 November, 06:26
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    1740, 1240, 620

    Step-by-step explanation:

    Here we need to put this data in equations. Let's call E the expenditure in equipment, F the expenditure in furniture and D the expenditure in decoration.

    As all of them cost 3600 we can write it as:

    E+F+D=3600 (equation 1)

    As equipment cost 500 dollars more than furniture, we can write:

    F+500=E (equation 2)

    And as furniture cost twice as decoration:

    F=2D (equation 3)

    We need now to leave equation 1 depending on only one variable.

    In equation 1, let's replace E by its value given by eq. 2 and replace F by its value given from eq. 3:

    (F+500) + 2D + D = 3600

    Now, let's replace the F of the first term by the value given by eq. 3:

    (2D + 500) + 2D + D = 3600

    5D + 500 = 3600

    5D = 3100

    D = 3100/5

    D=620

    So, use eq. 3 to find F:

    F=2D=1240

    Use eq. 2 to find E:

    E=F + 500 = 1240+500 = 1740

    And these are the values.
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