Question

Question
Amelia earns 10$ an hour for babysitting. She works 20 hours each week. Miguel earns 8$ an hour for chores and works
23 hours. After 6 weeks, they compare who made more money. If E = the total amount of who earns more then determine the value of E.
Responses

E = 96 dollars, Amelia earned more.
E = 96 dollars, Amelia earned more.

I don't know yet
I don't know yet

E = 2304
E = 2304

E = 1200 dollars, Amelia earned more by $96
E = 1200 dollars, Amelia earned more by $96

E = 1104 dollars, Miguel earned more by $96

Answer 1

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.**