Daisie earns 15$ an hour for babysitting. She works 14 hours each week. Alton earns 12 an hour for chores and works 27 hours. After 7 weeks, they compare who made more money. If E = the total amount of who earns more then determine the value of E.

Question

Responses

E = 2268 dollars, Alton earned more by $798
E = 2268 dollars, Alton earned more by $798

E = 3738 dollars
E = 3738 dollars

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

E = 1470 dollars, Daisie earned more by $798
E = 1470 dollars, Daisie earned more by $798

E = 798 dollars, Alton earned more.

Answer 1

To find out who earned more between Daisie and Alton after 7 weeks, we need to calculate their total earnings.

Daisie’s Earnings:

• Hourly rate: $15
• Hours worked per week: 14
• Number of weeks: 7

Total earnings for Daisie: \[ \text{Total earnings} = \text{Hourly rate} \times \text{Hours per week} \times \text{Number of weeks} \] \[ = 15 \times 14 \times 7 = 15 \times 98 = 1470 , \text{dollars} \]

Alton’s Earnings:

• Hourly rate: $12
• Hours worked per week: 27
• Number of weeks: 7

Total earnings for Alton: \[ \text{Total earnings} = \text{Hourly rate} \times \text{Hours per week} \times \text{Number of weeks} \] \[ = 12 \times 27 \times 7 = 12 \times 189 = 2268 , \text{dollars} \]

Summary of Earnings:

• Daisie earned: $1470
• Alton earned: $2268

Now, let's calculate the difference: \[ \text{Difference} = \text{Alton's earnings} - \text{Daisie's earnings} \] \[ = 2268 - 1470 = 798 , \text{dollars} \]

Since Alton earned more, we can conclude:

• E = 2268 dollars (total amount earned by the one who earned more)
• Alton earned more by $798

So the correct response is: E = 2268 dollars, Alton earned more by $798.