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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¢930.00
B. 
GH¢1550.00

An amount of money is shared between Kofi and Ama in the ratio 33:55. If Ama received GH¢44,650650.0000, what is Kofi's share?\newlineA. GH¢930.00930.00 \newlineB. GH¢1550.001550.00

Full solution

Q. An amount of money is shared between Kofi and Ama in the ratio 33:55. If Ama received GH¢44,650650.0000, what is Kofi's share?\newlineA. GH¢930.00930.00 \newlineB. GH¢1550.001550.00
  1. Denote Shares: Let's denote Kofi's share as KK and Ama's share as AA. According to the problem, Ama's share is GH₵4,650.004,650.00, and the ratio of Kofi's share to Ama's share is 3:53:5. This means for every 33 parts Kofi gets, Ama gets 55 parts. We can express this relationship as KA=35\frac{K}{A} = \frac{3}{5}. Since we know Ama's share, we can find Kofi's share by setting up a proportion.
  2. Find Value of One Part: First, we need to find the value of one part in the ratio. Since Ama's share corresponds to 55 parts, we can calculate the value of one part by dividing Ama's share by 55.\newlineOne part = Ama's share / 55 = GH₵4,650.004,650.00 / 55
  3. Calculate One Part Value: Perform the division to find the value of one part.\newlineOne part = GH₵$\(4\),\(650\).\(00\) / \(5\) = GH₵\(930\).\(00\)
  4. 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
  5. 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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