To calculate individual contributions when the total contribution and the ratio of contributions among participants are known, you can use the following steps:
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Identify the ratio: Determine the ratio in which the contributions are made. For example, if TsegaNafkot and Abel's contributions are in the ratio of 2:3, this means that for every 2 parts contributed by TsegaNafkot, Abel contributes 3 parts.
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Calculate the total parts in the ratio: Add the parts of the ratio together. For a ratio of 2:3:
- Total parts = 2 + 3 = 5 parts.
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Determine the value of each part: Divide the total contribution by the total parts to find the value of one part. For example, if the total contribution is $500:
- Value of one part = Total contribution / Total parts = 500 / 5 = $100.
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Calculate individual contributions: Multiply the value of one part by the number of parts assigned to each individual based on the ratio. Continuing with our 2:3 ratio example:
- TsegaNafkot's contribution = 2 parts × $100 = $200.
- Abel's contribution = 3 parts × $100 = $300.
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Verify: To confirm your calculations, check that the sum of individual contributions equals the total contribution. In this case:
- $200 (TsegaNafkot) + $300 (Abel) = $500 (Total contribution).
Example:
Problem: TsegaNafkot and Abel have contributed a total of $750 in a ratio of 1:4. What are their individual contributions?
Solution:
- Identify the ratio: 1:4
- Total parts = 1 + 4 = 5 parts.
- Value of one part = $750 / 5 = $150.
- TsegaNafkot's contribution = 1 part × $150 = $150.
- Abel's contribution = 4 parts × $150 = $600.
- Verify: $150 + $600 = $750.
Thus, TsegaNafkot contributed $150, and Abel contributed $600.