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

Answer 1

(a)
`Total = 45000`

(b) Yaw, Musa and Kofi

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 - ((25+6)/(45))`

`Musa = 1 - (31)/(45)`

`Musa = (45 - 31)/(45)`

`Musa = (14)/(45)`

So, we have:

`(14)/(45) * Total = 14000`

Make Total the subject

`Total = 14000 * (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 = (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