Ask Question
13 March, 17:35

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

+3
Answers (1)
  1. 13 March, 18:28
    0
    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.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “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 ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers