Q. An amount of money is shared between Kofi and Ama in the ratio 3:5. If Ama received GH¢4,650.00, what is Kofi's share?A. GH¢930.00B. GH¢1550.00
Denote Shares: Let's denote Kofi's share as K and Ama's share as A. According to the problem, Ama's share is GH₵4,650.00, and the ratio of Kofi's share to Ama's share is 3:5. This means for every 3 parts Kofi gets, Ama gets 5 parts. We can express this relationship as AK=53. Since we know Ama's share, we can find Kofi's share by setting up a proportion.
Find Value of One Part: First, we need to find the value of one part in the ratio. Since Ama's share corresponds to 5 parts, we can calculate the value of one part by dividing Ama's share by 5.One part = Ama's share / 5 = GH₵4,650.00 / 5
Calculate One Part Value: Perform the division to find the value of one part.One part = GH₵$\(4\),\(650\).\(00\) / \(5\) = GH₵\(930\).\(00\)
Find Kofi's Share: Now that we have the value of one part, we can find Kofi's share by multiplying the value of one part by the number of parts Kofi is supposed to receive, which is \(3\). Kofi's share = \(3\) parts \(\times\) GH₵\(930.00\)/part
Calculate Kofi's Share: Perform the multiplication to find Kofi's share.Kofi's share = \(3\) \(\times\) GH₵\(930.00 \) = GH₵\(2\),\(790\).\(00\)
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