How much will Daniel have to earn in the sixth week to have the same average weekly earnings as Alice?

Question

Daniel and Alice each earn money by babysitting.

1. Daniel earned a total of $84 in a 5-week period.
2. During a 6-week period, Alice averaged $16 per week.

How much will Daniel have to earn in the sixth week to have the same average weekly earnings as Alice? 

Answer 1

Let's first calculate how much Alice earned overall,

($16 per week) x (6 weeks) = (Total earned)

16 x 6 = 96

So, we need to find a number that makes Daniel's total the same as Alice's total.

(Daniel's total) + X = (Alice's total)

84 + X = 96

Subtract 84 from both sides,

X = 12

Therefore, Daniel needs to earn $12 in the sixth week to have the same average weekly earning as Alice.

This is because they have earned the same amount of money over the same period of time, meaning the same average weekly earnings.

Answer 2

Daniel must average $16 per week to match Alice. How much he must earn in week six must be added to his five week total and and then divided by six weeks to get the average ($ per week).

Let x be the amount he must earn in week six:

Solving for x, Daniel must earn $12 in the last week to meet the $16 per week average.