Question
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Mark and Janet buy gold coins costing R435 000 . Mark Rontributes R163 125 an Janet contributes the balance. How miny coins should each reeme based on th3 ratio split if there are 24 coins altogethet?

Ask by Sullivan Welch. in South Africa
Jan 22,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

Mark gets 9 coins and Janet gets 15 coins.

Solution

To determine how many gold coins Mark and Janet should each receive based on their contributions, follow these steps: 1. **Calculate Janet's Contribution:** \[ \text{Total Cost} = R435,000 \] \[ \text{Mark's Contribution} = R163,125 \] \[ \text{Janet's Contribution} = R435,000 - R163,125 = R271,875 \] 2. **Determine the Contribution Ratios:** \[ \text{Mark's Ratio} = \frac{R163,125}{R435,000} = 0.375 \] \[ \text{Janet's Ratio} = \frac{R271,875}{R435,000} = 0.625 \] 3. **Allocate the Coins Based on Ratios:** There are **24 coins** in total. \[ \text{Mark's Coins} = 0.375 \times 24 = 9 \text{ coins} \] \[ \text{Janet's Coins} = 0.625 \times 24 = 15 \text{ coins} \] **Final Distribution:** - **Mark receives 9 coins.** - **Janet receives 15 coins.**

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The Deep Dive

To find out how many coins each should receive, we start by determining how much Janet contributed. If Mark paid R163,125, then Janet’s contribution is R435,000 - R163,125 = R271,875. Now, let’s find the ratio of their contributions: Mark's ratio is R163,125/(R163,125 + R271,875) = 0.375 and Janet's is R271,875/(R163,125 + R271,875) = 0.625. Now, we can apply the ratio to the total coins. Mark should receive 0.375 * 24 = 9 coins and Janet should receive 0.625 * 24 = 15 coins. So, Mark gets 9 coins and Janet gets 15 coins! 🌟💰

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