Pregunta
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Nathi, Paul, and Tim worked in Mr. Setati's garden. Nathi worked for 5 hours, Paul for 4
hours and Tim for 3 hours. Mr. Setati gave the boys a total of R600 for their work. How
should they divide the R 600 among the three of them? 5

Ask by Klein Huang. in South Africa
Mar 26,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

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Nathi should receive R250, Paul R200, and Tim R150.

Solución

To solve the problem of how Nathi, Paul, and Tim should divide the R600 based on the hours they worked, we can follow these steps:
  1. Identify the hours worked by each person:
    • Nathi: 5 hours
    • Paul: 4 hours
    • Tim: 3 hours
  2. Calculate the total hours worked:
  3. Determine the amount earned per hour:
  4. Calculate the earnings for each person:
    • Nathi’s earnings:
    • Paul’s earnings:
    • Tim’s earnings:
Let’s perform the calculations step by step.
First, we will calculate the total hours worked.
Calculate the value by following steps:
  • step0: Calculate:
  • step1: Add the numbers:

    The total hours worked is hours.
Next, we will calculate the earnings per hour:
Now, let’s calculate this value.
Calculate the value by following steps:
  • step0: Calculate:
  • step1: Reduce the numbers:
  • step2: Calculate:

    The earnings per hour is R.
Now, we can calculate the earnings for each person:
  1. Nathi’s earnings:
  2. Paul’s earnings:
  3. Tim’s earnings:
Let’s calculate these values.
Calculate the value by following steps:
  • step0: Calculate:
  • step1: Multiply the numbers:

    Calculate or simplify the expression .
    Calculate the value by following steps:
  • step0: Calculate:
  • step1: Multiply the numbers:

    Calculate or simplify the expression .
    Calculate the value by following steps:
  • step0: Calculate:
  • step1: Multiply the numbers:

    The earnings for each person are as follows:
  • Nathi’s earnings: R
  • Paul’s earnings: R
  • Tim’s earnings: R
Thus, the R600 should be divided among Nathi, Paul, and Tim as follows:
  • Nathi: R250
  • Paul: R200
  • Tim: R150

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Mind Expander

To divide the R600 fairly based on their working hours, we first need to calculate the total hours worked by all three boys. Nathi worked 5 hours, Paul worked 4 hours, and Tim worked 3 hours. So, total hours worked = 5 + 4 + 3 = 12 hours.
Next, we can find out how much each hour of work is worth by dividing the total payment by the total hours: R600 ÷ 12 hours = R50 per hour. Now we can multiply each person’s hours by the hourly rate to determine their share: Nathi: 5 hours × R50 = R250; Paul: 4 hours × R50 = R200; Tim: 3 hours × R50 = R150.
In conclusion, Nathi should receive R250, Paul should receive R200, and Tim should receive R150.

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