Question
Mark and Janet buy gold coins costing R 435000 . Mark contributes R163 12
Janet contributes the balance. How many coins should each receive based on
ratio split if there are 24 coins altogether?
Janet contributes the balance. How many coins should each receive based on
ratio split if there are 24 coins altogether?
Ask by Willis Santiago. in South Africa
Jan 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Mark should receive 1 coin and Janet should receive 23 coins.
Solution
To determine how many gold coins Mark and Janet should receive based on their contributions, let’s break down the problem step by step.
1. Understanding the Contributions
- Total Cost of Coins: R435,000
- Mark’s Contribution: R16,312
- Janet’s Contribution:
2. Calculating the Ratio of Contributions
The ratio of Mark’s contribution to Janet’s contribution is:
To simplify this ratio, divide both numbers by their greatest common divisor (GCD), which is 8:
3. Distributing the 24 Coins
Given the simplified ratio of 2,039 : 52,336, we need to distribute 24 coins proportionally.
First, find the total parts:
Next, determine the number of coins each should receive:
- Mark’s Share:
- Janet’s Share:
4. Final Allocation
Since coins can’t be split into fractions in a practical scenario:
- Mark receives: 1 coin
- Janet receives: 23 coins
This allocation ensures that both Mark and Janet receive whole coins proportional to their financial contributions.
Final Answer:
Mark should receive 1 coin and Janet should receive 23 coins out of the 24 total.
Mark should receive 1 coin and Janet should receive 23 coins out of the 24 total.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Explain 
Simplify this solution Beyond the Answer
Mark contributes R 163,112, while Janet’s contribution can be calculated as the balance, which is R 435,000 - R 163,112 = R 271,888. To find the ratio of their contributions, we can express it as Mark’s R 163,112 to Janet’s R 271,888, simplifying it gives us a ratio of approximately 1:1.67.
Given there are a total of 24 coins, we need to divide the coins based on the ratio. The total parts of the ratio are 1 + 1.67 = 2.67. Mark’s share will be (1/2.67) * 24 ≈ 9 coins, and Janet’s share will be (1.67/2.67) * 24 ≈ 15 coins. So, Mark receives 9 coins and Janet receives 15 coins.
