Wallace earns 12$ an hour for mowing yards. He works 18 hours each week. Summer earns 9$ an hour for chores and works

21 hours. After 5 weeks, they compare who made more money. If E = the total amount of who earns more then determine the value of E.
Responses

E = 135 dollars, Wallace earned more.
E = 135 dollars, Wallace earned more.

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

E = 1080 dollars, Wallace earned more by $135
E = 1080 dollars, Wallace earned more by $135

E = 2025 dollars
E = 2025 dollars

E = 945 dollars, Summer earned more by $135

1 answer

To determine how much money Wallace and Summer made after 5 weeks, we can calculate their earnings separately.

Wallace's earnings:

  • Hourly rate: $12
  • Hours worked per week: 18
  • Number of weeks: 5

Wallace's total earnings can be calculated as follows: \[ \text{Total earnings for Wallace} = \text{hourly rate} \times \text{hours per week} \times \text{number of weeks} = 12 \times 18 \times 5 \] Calculating this: \[ 12 \times 18 = 216 \] \[ 216 \times 5 = 1080 \] So, Wallace earned $1080.

Summer's earnings:

  • Hourly rate: $9
  • Hours worked per week: 21
  • Number of weeks: 5

Summer's total earnings can be calculated as follows: \[ \text{Total earnings for Summer} = \text{hourly rate} \times \text{hours per week} \times \text{number of weeks} = 9 \times 21 \times 5 \] Calculating this: \[ 9 \times 21 = 189 \] \[ 189 \times 5 = 945 \] So, Summer earned $945.

Comparison:

  • Wallace earned $1080.
  • Summer earned $945.

Now, to determine how much more Wallace earned than Summer: \[ \text{Difference} = 1080 - 945 = 135 \]

Final Calculation: The question states to find \( E \), the total amount of the one who earns more. Therefore: \[ E = 1080 \]

Conclusion: The value of \( E \) is 1080 dollars, and Wallace earned more by 135 dollars.

The correct response from your options is: E = 1080 dollars, Wallace earned more by $135.