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A total amount of money was shared among five business women. Jane received 3/8 of the total amount. Jepchoge received 2/5 of the remainder. The remaining amount was shared equally among Esther, Mama
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12 steps24. Sharing Money and Profit
Part a· 7 steps
How much was shared among the five business women?
Let the total amount shared be .
Jane's share is of the total amount.
Calculate the remainder after Jane's share.
Jepchoge's share is of the remainder.
Calculate the amount remaining after Jane and Jepchoge's shares.
This amount was shared equally among Esther, Mama Charo, and Chepkoech.
Esther, Mama Charo, and Chepkoech each received Kshs.
6,000.
The total amount received by these three is:Equate the remaining fraction of the total amount to the known amount.
Solve for .
The total amount shared among the five business women was Kshs. 48,000.
Kshs. 48,000
Part b· 5 steps
How much did Jepchoge get?
Use the fraction for Jepchoge's share from part (a) and the total amount .
Jepchoge got Kshs. 12,000.
Kshs. 12,000c) Jane, Jepchoge and Chepkoech invested their money and earned a profit of Kshs. 12,000. A third of the profit was left to maintain the business and the rest was shared according to their investments. Find how much each got.
Determine the initial investments of Jane, Jepchoge, and Chepkoech.
Jane's investment:
Jepchoge's investment: (from part b)
Chepkoech's investment: (given in the problem)Calculate the total profit to be shared.
Total profit earned = Kshs. 12,000
Amount left for maintenance =
Profit to be shared =Determine the ratio of their investments.
Jane : Jepchoge : Chepkoech
Divide by the greatest common divisor (6,000):
Total ratio parts =
Calculate each person's share of the profit.
Jane's share of profit:
Jepchoge's share of profit:
Chepkoech's share of profit:
Jane got Kshs. 4,000, Jepchoge got Kshs. 2,666.67, and Chepkoech got Kshs. 1,333.33.
Jane: Kshs. 4,000, Jepchoge: Kshs. 2,666.67, Chepkoech: Kshs. 1,333.33
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