Question
Divide \( R 2400 \) in the ratio of \( 1: 2: 3 \)
Ask by Bowers Nichols. in South Africa
Feb 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The amounts are R400, R800, and R1200.
Solution
To divide R2400 in the ratio 1:2:3, first sum the parts of the ratio:
1 + 2 + 3 = 6 parts.
Next, calculate the value of one part:
R2400 ÷ 6 = R400 per part.
Now, assign each share according to the ratio:
• First share: 1 part = 1 × R400 = R400
• Second share: 2 parts = 2 × R400 = R800
• Third share: 3 parts = 3 × R400 = R1200
Thus, the amounts are R400, R800, and R1200 respectively.
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Simplify this solution Extra Insights
To divide \( R 2400 \) in the ratio of \( 1: 2: 3 \), first, add up the parts of the ratio: \( 1 + 2 + 3 = 6 \) parts. Next, determine the value of one part by dividing the total amount by the total number of parts: \( R 2400 \div 6 = R 400 \). Now, multiply the value of one part by each part of the ratio: - First part: \( 1 \times R 400 = R 400 \) - Second part: \( 2 \times R 400 = R 800 \) - Third part: \( 3 \times R 400 = R 1200 \) Therefore, the amounts for each part are \( R 400 \), \( R 800 \), and \( R 1200 \).
