1. **Problem statement:** Zahid is paid a set wage of 774.72 for a 36-hour week, plus time-and-a-half for overtime. He worked 43 hours in one week. Find Zahid's earnings that week. 2. **Formula and rules:** - Regular hourly wage = $ \frac{774.72}{36} $ - Overtime hourly wage = 1.5 \times regular hourly wage - Total earnings = (regular hours \times regular wage) + (overtime hours \times overtime wage) 3. **Calculate regular hourly wage:** $$ \text{Regular hourly wage} = \frac{774.72}{36} = 21.52 $$ 4. **Calculate overtime hours:** $$ \text{Overtime hours} = 43 - 36 = 7 $$ 5. **Calculate overtime hourly wage:** $$ \text{Overtime hourly wage} = 1.5 \times 21.52 = 32.28 $$ 6. **Calculate total earnings:** $$ \text{Total earnings} = (36 \times 21.52) + (7 \times 32.28) $$ $$ = 774.72 + 225.96 = 1000.68 $$ --- 1. **Problem statement:** Samantha is paid a set wage of 962.50 for a 35-hour week, plus double time for overtime. She worked 40 hours in one week. Find Samantha's earnings that week. 2. **Formula and rules:** - Regular hourly wage = $ \frac{962.50}{35} $ - Overtime hourly wage = 2 \times regular hourly wage - Total earnings = (regular hours \times regular wage) + (overtime hours \times overtime wage) 3. **Calculate regular hourly wage:** $$ \text{Regular hourly wage} = \frac{962.50}{35} = 27.5 $$ 4. **Calculate overtime hours:** $$ \text{Overtime hours} = 40 - 35 = 5 $$ 5. **Calculate overtime hourly wage:** $$ \text{Overtime hourly wage} = 2 \times 27.5 = 55 $$ 6. **Calculate total earnings:** $$ \text{Total earnings} = (35 \times 27.5) + (5 \times 55) $$ $$ = 962.5 + 275 = 1237.5 $$