SOLUTION: "Alessia is paid 1.4 times her normal hourly rate for each hour she works over 30 hours in a week. Last week she worked 35 hours and earned $436.60. What is her hourly rate?" Can y

Question 665891: "Alessia is paid 1.4 times her normal hourly rate for each hour she works over 30 hours in a week. Last week she worked 35 hours and earned $436.60. What is her hourly rate?" Can you translate this into algebreze?
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
x is normal rate
1.4x is overtime rate
...
Establishing the equation
Hours(hourly rate) plus Hours(overtime rate) = $436.60 earnings
30x + 5(1.4x) = $436.60
30x + 7x = 436.60
Combine x
37x = 436.60
...
Solve for x
Divide both sides by 37
per hour
...
Check
$11.8(30) = $354 regular pay
$11.8(1.4) = 16.52 overtime rate
$16.52*5 = $82.6 overtime pay
$354 + $82.60 = $436.60 for a 35 hour period
.....................
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