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

1 answer

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.