You have a summer job that pays you $5.60 an hour you get $8.40 an hour for overtime how many hours of overtime must you work to earn $287

The following given problem can be expressed in the form of:

E = 5.60 * T1 + 8.40 * T2

where,

E = total earning

T1 = normal hours worked

T2 = overtime hours

Assuming that the maximum T1 hours is 40 hours. Beyond that is considered overtime, therefore:

287 = 5.60 * 40 + 8.40 * T2

T2 = 7.5 hours

Therefore 7.50 overtime hours is needed.