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Tian is paid $20.45 per hour, as well as a meal allowance of $16.20 per day - HSC - SSCE Mathematics Standard - Question 7 - 2022 - Paper 1

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Question 7

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Tian is paid $20.45 per hour, as well as a meal allowance of $16.20 per day. What are Tian’s total earnings if she works 9 hours per day for 5 days?

Worked Solution & Example Answer:Tian is paid $20.45 per hour, as well as a meal allowance of $16.20 per day - HSC - SSCE Mathematics Standard - Question 7 - 2022 - Paper 1

Step 1

Calculate Hourly Earnings

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Answer

To find Tian's total earnings from her hourly wage, we multiply her hourly rate by the number of hours worked per day.

Tian's hourly rate: $20.45

Hours worked per day: 9

Total daily earnings from hourly wage: extDailyEarnings=extHourlyRateimesextHoursWorked=20.45imes9=184.05 ext{Daily Earnings} = ext{Hourly Rate} imes ext{Hours Worked} = 20.45 imes 9 = 184.05

Step 2

Calculate Meal Allowance

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Answer

Next, we calculate her total meal allowance for the 5 days she works.

Daily meal allowance: $16.20

Total meal allowance for 5 days: extTotalMealAllowance=extDailyMealAllowanceimes5=16.20imes5=81.00 ext{Total Meal Allowance} = ext{Daily Meal Allowance} imes 5 = 16.20 imes 5 = 81.00

Step 3

Calculate Total Earnings

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Answer

Now, we can calculate Tian's total earnings by adding her total earnings from her hourly wage to her total meal allowance.

Total earnings for 5 days from hourly wage: extTotalEarningsfromHourlyWage=extDailyEarningsimes5=184.05imes5=920.25 ext{Total Earnings from Hourly Wage} = ext{Daily Earnings} imes 5 = 184.05 imes 5 = 920.25

Now, add the total earnings from hourly wage and the total meal allowance: extTotalEarnings=extTotalEarningsfromHourlyWage+extTotalMealAllowance=920.25+81.00=1001.25 ext{Total Earnings} = ext{Total Earnings from Hourly Wage} + ext{Total Meal Allowance} = 920.25 + 81.00 = 1001.25

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