BECE Mathematics 2024 Paper

Concept:In a ratio sharing problem, every ratio part has an equal value. The larger share has more ratio parts, so the given difference helps find the value of one part.Explanation:Zalia and Amina shared money in the ratio $2:5$.Let Zalia's share be $2x$ and Amina's share be $5x$.Amina had GH₵ 150.00 more than Zalia, so the difference in their shares is $150$.Therefore, $5x-2x=150$.This simplifies to $3x=150$.Divide both sides by $3$, so $x=50$.Now, total ratio parts $=2+5=7$.Total amount shared $=7x=7 \times 50 = 350$.So Zalia's share is $2 \times 50 = 100$ and Amina's share is $5 \times 50 = 250$.Adding them gives $100+250=350$, which checks with the total.Thus, the total amount shared was GH₵ 350.00.Answer:D. GH₵ 350.00