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Let's calculate Julie's earnings for each day:
Sunday: 10 hours x hourly rate = $10x
Monday: 10 hours x hourly rate = $10x
Wednesday: 10 hours x hourly rate = $10x
Tuesday: 7 hours x hourly rate = $7x
Thursday: 7 hours x hourly rate = $7x
Friday: 7 hours x hourly rate = $7x
Total earnings = $10x + $10x + $10x + $7x + $7x + $7x = $41x
Given that her weekly total earnings are $612, we can set up the equation:
$41x = $612
Solving for x:
x = $612 / $41
x = $14.93
Therefore, Julie's hourly rate of pay is $14.93.