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Three friends, Kofi, Pete, and Peter, are in a partnership business. Kofi and Pete each contributed [tex]$\frac{5}{c}$[/tex] of the total cost, respectively. If the total cost is GH₵ 14,000, how much did each contribute? List the partners in order of their investment.

Answer :

To solve the problem, we need to determine how much each of the three friends—Kofi, Pete, and Peter—contributed to their partnership business, given the total cost is GH₵ 14,000900.

1. Understand Contributions:
- The total cost of the business is GH₵ 14,000,900.
- The contributions are divided equally among the three: Kofi, Pete, and Peter. Each contributes the same fraction of the total cost.

2. Contribution Fractions:
- It is given that all three contributed an equal amount, but presented differently in terms of fractions.
- Kofi's and Pete's contributions are straightforward as [tex]\(\frac{1}{3}\)[/tex] each of the total cost.
- Peter's contribution is described as [tex]\(\frac{5}{c}\)[/tex], which simplifies to [tex]\(\frac{1}{3}\)[/tex] when [tex]\(c = 15\)[/tex].

3. Calculate Contributions:
- To ensure that each individual put in an equal amount, we calculate the contribution as [tex]\(\frac{1}{3}\)[/tex] of the total cost for each person.
- Calculate the contribution for each friend by multiplying the total cost by [tex]\(\frac{1}{3}\)[/tex]:

- Kofi's Contribution = [tex]\( 14,000,900 \times \frac{1}{3} \)[/tex]
- Pete's Contribution = [tex]\( 14,000,900 \times \frac{1}{3} \)[/tex]
- Peter's Contribution = [tex]\( 14,000,900 \times \frac{1}{3} \)[/tex]

4. Result:
- Each friend contributed GH₵ 4,666,966.67 approximately.

Therefore, the contributions are:

- Kofi: GH₵ 4,666,966.67
- Pete: GH₵ 4,666,966.67
- Peter: GH₵ 4,666,966.67

This breakdown shows the equal distribution of contributions among the three partners, matching the total business cost.

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