To determine who earned more after 6 weeks, we need to calculate the total earnings for both Amelia and Miguel.
Amelia's Earnings:
- She earns $10 an hour and works 20 hours each week.
- Total earnings for one week: \(10 , \text{dollars/hour} \times 20 , \text{hours} = 200 , \text{dollars}\).
- Over 6 weeks: \( 200 , \text{dollars/week} \times 6 , \text{weeks} = 1200 , \text{dollars}\).
Miguel's Earnings:
- He earns $8 an hour and works 23 hours each week.
- Total earnings for one week: \(8 , \text{dollars/hour} \times 23 , \text{hours} = 184 , \text{dollars}\).
- Over 6 weeks: \( 184 , \text{dollars/week} \times 6 , \text{weeks} = 1104 , \text{dollars}\).
Comparison:
- Amelia's total earnings: $1200
- Miguel's total earnings: $1104
Now, since Amelia earned more than Miguel, we can now calculate the difference:
\[ 1200 , \text{dollars} - 1104 , \text{dollars} = 96 , \text{dollars} \]
Therefore, since Amelia earned more than Miguel, we can state:
E = 1200 dollars, Amelia earned more by $96.
So the correct response is:
E = 1200 dollars, Amelia earned more by $96.