BECE Mathematics 2014 Paper

Concept:When a total amount is divided in a given ratio, each person’s share is calculated as their ratio part divided by the sum of all ratio parts, then multiplied by the total amount.Explanation:The ratio for Kofi, Kojo and Ama is $3:5:4$.Ama’s ratio part is $4$.Find the sum of the ratio parts:$3 + 5 + 4 = 12$.This means the GH₵ 480,000.00 is divided into $12$ equal parts.Value of one part is:$\frac{480000}{12} = 40000$.Ama receives $4$ parts, so her share is:$4 \times 40000 = 160000$.Thus, Ama received GH₵ 160,000.00.Answer:Ama received GH₵ 160,000.00, which is option A.