Three friends Kofi,Yaw and Musa are in partnership business in which Kofi and Yaw contributed 5/9 and 2/15 of the cost of 14000.00 was paid

Question

Three friends Kofi,Yaw and Musa are in partnership business in which Kofi and Yaw contributed 5/9 and 2/15 of the cost of 14000.00 was paid by Musa, how much did the business cost. List the partners in ascending order of their investment

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Vân Khánh 5 years 2021-08-27T17:05:19+00:00 1 Answers 152 views 1

Answers ( )

  1. kimchi2
    1
    2021-08-27T17:06:47+00:00
    Reply

    Answer:

    (a) Total = 45000

    (b) Yaw, Musa and Kofi

    Step-by-step explanation:

    Given

    Kofi =5/9

    Yaw = 2/15

    Musa = 14000

    Solving (a): The cost of the business

    First, we solve for the fraction of Musa

    Musa + Kofi + Yaw = 1

    Musa = 1 - (Kofi + Yaw )

    Musa = 1 - (5/9 + 2/15)

    Musa = 1 - (\frac{25+6}{45})

    Musa = 1 - \frac{31}{45}

    Musa = \frac{45 - 31}{45}

    Musa = \frac{14}{45}

    So, we have:

    \frac{14}{45} * Total = 14000

    Make Total the subject

    Total = 14000 * \frac{45}{14}

    Total = 1000 * 45

    Total = 45000

    Solving (b): Partners in ascending order

    First, represent the fractions as decimals

    Kofi =5/9 = 0.5556

    Yaw = 2/15 = 0.1333

    Musa = \frac{14}{45} = 0.3111

    From the conversion above, the least is 0.1333 (Yaw), then 0.3111 (Musa), then 0.5556 (Kofi).

    So, the order is: Yaw, Musa and Kofi

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