July 16, 2010

How do you do this math problem?

By Planet Wealth

Anthony and Bruce are renting a small, two bedroom house. Each man’s share of the rent is based on the floor area of his bedroom. The floor area of Anthony’s bedroom is 12 m2 (metre square) and the floor area of Bruce’s bedroom is 9m2

What fraction of the total bedroom floor area is the floor area of Anthony’s room?

I would prefer if you showed me how to do it, as I am trying to learn not just get the answer.
thanks :D
when i type
12 divided by 21 on the calculater it comes up with this:
0.571428571

Topics: renting shares | 6 Comments »

6 Responses to “How do you do this math problem?”

  1. Asker Says:
    July 16th, 2010 at 12:46 pm

    Just imagine the question. you have a two bedroom house. Anthony’s floor area=12 m2, and that of Bruce’s 9 m2.
    Now we want to know what fraction of the total floor area is the floor area of Anthony, right?

    for example, if we assume that Anthony’s area was 9 and Bruce’s was 9. then intuitively, we know that Anthony’s room constitutes half the total area. Mathematically, what we did was diving Anthony’s area by the total are: 9/(9+9)=1/2

    in our case, we will do the same: divide Anth. area by the total area
    fraction= 12/ (12+9) = 12/21 = 4/7

  2. Prashanth N Bhat Says:
    July 16th, 2010 at 12:46 pm

    Total bedroom floor area= 21m2.
    Anthony’s floor area = 12 m2

    Hence the ratio = 12/21 = 4/7

  3. Quicksilver Says:
    July 16th, 2010 at 12:46 pm

    First get the total area = 12 + 9 = 21 m²
    For Anthony’s share, divide his area by total = 12 / 21 = 4 / 7
    For Bruce, = 9 / 21 = 3 / 7

    Add the to fractions and you have 3/7 + 4/7 = 7/7 = 21 / 21 (Total / total)

  4. Neha Says:
    July 16th, 2010 at 12:46 pm

    total area=12+9=21
    fraction=12/21=4/7

  5. Kelsey Says:
    July 16th, 2010 at 12:46 pm

    Bruce’s area 9
    Anthony’s area +12
    Total Area 21
    Bruce’s percentage 9/21 = 42.86%
    Anthony’s percentage +12/21 = 57.14%
    Total percentage 21/21= 100.00%

  6. ranjankar Says:
    July 16th, 2010 at 12:46 pm

    Total bedroom area = 12 + 9 = 21 m^2

    Anthony ‘s share will be 12/21 = 4/7 = 0.57 or 57%

    Bruce’s share will be 9/21 = 3/7 = 0.43 or 43%

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