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19 January, 11:34

Jiaqi, Gwen and Patricia painted rhe walls of a room together. Jiaqi painted 4/7 of the walls. Gwen and Patricia painted an equal amount of the remaining area of the walls. Jiaqi painted 2/5 m2 more than the area that Gwen and Patricia each painted. Find the total area of the walls they painted. Give your answer as a mixed number in its simplest form

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  1. 19 January, 15:34
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    1 3/25 m2.

    Step-by-step explanation:

    Let the portion of the wall painted by Jiaqi, Gwen and Patricia be denoted as X, Y and Z respectively.

    Jiaqi (X):

    = 4/7

    Gwen (Y):

    =1/2 * (1 - 4/7)

    = 1/2 * (3/7).

    = 3/14.

    Patricia (Z):

    =1/2 * (1 - 4/7)

    = 1/2 * (3/7).

    = 3/14.

    Area of the wall painted:

    Let the area of the wall painted by Gwen and Patricia be Y + Z.

    The area painted by Jiaqi = 2/5 + Y + Z

    Therefore,

    4/7 = 2/5 + Y + Z

    The ratio of portions painted by:

    Jiaqi : Gwen : Patricia : Total

    4 : 3/2 : 3/2 : 7

    Multiple by 2,

    8 : 3 : 3 : 14

    = (X - (Y + Z))

    8 - 3 = 5,

    but, 5 units = 2/5,

    Total units, 14 units = 28/25

    = 1 3/25

    1 3/25 m2.
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