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Kofi and Ama shared an amount of money in the ratio 3:2 respectively. If Kofi had GH¢6.00, how much was shared?

A. GH¢2.40
B. GH¢3.60
C. GH¢4.80
D. GH¢5.20

1 Answer

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Final answer:

Kofi's share represents 3 parts of a 5-part ratio while Ama has 2 parts. By dividing Kofi's GH¢6.00 by 3, we find that one part is GH¢2.00. Multiplying this value by the total parts (5) gives the total shared amount, which is GH¢10.00.

Step-by-step explanation:

The question deals with a proportional division of an amount of money between Kofi and Ama using the ratio 3:2. Given that Kofi received GH¢6.00, we can determine the total amount of money shared. If Kofi's share is 3 parts of the total 5 parts (3 for Kofi and 2 for Ama), we can set up a proportion where 3 parts are equivalent to GH¢6.00. To find the value of one part, you divide the amount Kofi received by 3:

Kofi's share (3 parts) = GH¢6.00

Value of one part = GH¢6.00 ÷ 3

Value of one part = GH¢2.00

Knowing the value of one part, we can find out the total amount shared by adding the value of the parts for Kofi and Ama:

Total amount shared = 5 parts = 3 parts + 2 parts

Total amount shared = (3 × GH¢2.00) + (2 × GH¢2.00)

Total amount shared = GH¢6.00 + GH¢4.00

Total amount shared = GH¢10.00

Therefore, Kofi and Ama shared a total of GH¢10.00.

User Jurgen Strydom
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