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Answer :
To solve the question, let’s break it down step by step.
1. Understand the Ratio: The work week is described as having a 5:2 ratio. This means for every 5 workdays, there are 2 weekend days in a week.
2. Identify the Known Quantity: We know there are 12 weekend days we need to account for.
3. Determine the Number of Weeks:
- Since each week consists of 2 weekend days, we need to find out how many weeks it would take to accumulate 12 weekend days.
- Dividing the total number of desired weekend days by the number of weekend days per week gives us the number of weeks needed:
[tex]\[
\text{Number of weeks} = \frac{12}{2} = 6
\][/tex]
4. Calculate the Number of Workdays:
- Now that we know it takes 6 weeks to make up 12 weekend days, we can use the work-to-weekend ratio to find out the total number of workdays for these weeks.
- Since each week has 5 workdays, we multiply the number of weeks by the workdays per week:
[tex]\[
\text{Number of workdays} = 6 \times 5 = 30
\][/tex]
So, someone would need to work 30 weekdays to account for 12 weekend days.
1. Understand the Ratio: The work week is described as having a 5:2 ratio. This means for every 5 workdays, there are 2 weekend days in a week.
2. Identify the Known Quantity: We know there are 12 weekend days we need to account for.
3. Determine the Number of Weeks:
- Since each week consists of 2 weekend days, we need to find out how many weeks it would take to accumulate 12 weekend days.
- Dividing the total number of desired weekend days by the number of weekend days per week gives us the number of weeks needed:
[tex]\[
\text{Number of weeks} = \frac{12}{2} = 6
\][/tex]
4. Calculate the Number of Workdays:
- Now that we know it takes 6 weeks to make up 12 weekend days, we can use the work-to-weekend ratio to find out the total number of workdays for these weeks.
- Since each week has 5 workdays, we multiply the number of weeks by the workdays per week:
[tex]\[
\text{Number of workdays} = 6 \times 5 = 30
\][/tex]
So, someone would need to work 30 weekdays to account for 12 weekend days.
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