Question
Cupcake has R650 and wants to split it between his friends. Angie, Paul and Ste with a ratio of \( 2: 3: 5 \). Calculate how much Paul will be receiving.
Ask by Turnbull Valdez. in South Africa
Feb 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Paul will receive R195.
Solution
Step 1: Sum the parts of the ratio.
The ratios for Angie, Paul, and Ste are 2, 3, and 5 respectively. So, the total number of parts is:
2 + 3 + 5 = 10 parts.
Step 2: Calculate the value of one part.
Since R650 is to be split into 10 parts:
Value per part = R650 ÷ 10 = R65.
Step 3: Calculate Paul’s share.
Paul’s portion is 3 parts:
Paul’s share = 3 × R65 = R195.
So, Paul will receive R195.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Bonus Knowledge
To tackle the problem, we first need to determine the total parts in the ratio \( 2: 3: 5 \). Adding these together gives us \( 2 + 3 + 5 = 10 \) parts. Now, we’ll calculate how much each part is worth by dividing the total amount R650 by the total parts: \[ \text{Value per part} = \frac{R650}{10} = R65. \] Next, to find out how much Paul gets, we take his share of the ratio, which is 3 parts: \[ \text{Paul's share} = 3 \times R65 = R195. \] So, Paul will be receiving R195!
