The table shows how much a worker is paid each day.
1st hour$75
Every additional hour$40
For every 4 hours of completed work, an additional $10 will be paid.
Mr Morris was paid $325 for a day's work. How many hours did he work? Answer: ___ h

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Worked solution

2

1. Subtract the pay for the 1st hour from the total pay

Pay remaining after 1st hour = $325−$75=$250\char36{}325 - \char36{}75 = \char36{}250

2. Determine the pay structure for subsequent hours

For every additional hour, the pay is $40\char36{}40.
However, for every 4 hours of completed work, there is an additional $10\char36{}10.
Let's check the pay for the first 4 hours of work:
1st hour: $75\char36{}75
Next 3 hours: 3×$40=$1203 \times \char36{}40 = \char36{}120
Bonus for 4 hours: $10\char36{}10
Total for 4 hours = $75+$120+$10=$205\char36{}75 + \char36{}120 + \char36{}10 = \char36{}205

3. Calculate the remaining pay and hours after the first 4 hours

Remaining pay = $325−$205=$120\char36{}325 - \char36{}205 = \char36{}120
Since each additional hour (before reaching the next 4-hour block) pays $40\char36{}40, the number of additional hours is:
$120÷$40=3\char36{}120 \div \char36{}40 = 3 hours.
Total hours worked = 4+3=74 + 3 = 7 hours.
(Check: 7 hours is not a multiple of 4, so no second bonus is triggered. Total pay = $75+6×$40+$10=$75+$240+$10=$325\char36{}75 + 6 \times \char36{}40 + \char36{}10 = \char36{}75 + \char36{}240 + \char36{}10 = \char36{}325. This matches.)

Answer

77

AI analysis — may contain mistakes.

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