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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

Respuesta :

Answer:

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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