Carmen worked more than 40 hours last week and earned $352.95. her regular hourly pay rate is $7.80. after 40 hours, she is paid an extra $3.90 for each hour she works. how many hours did carmen work last week?

Count how much will Carmen earn when she works only 40 hours:

$7.80·40=$312.

Since $312 < $352.95, then Carmen should have worked extra hours.

The difference in payment is

$352.95 - $312 = $40.95 - the amount of money Carmen earned while working extra hours.

An extra hour is paid $3.90. If she earned $40.95 for all extra hours, then she had worked

$40.95 : $3.90 = 10.5 extra hours.

40 regular hours and 10.5 extra hours. In total, 50.5 hours.  

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