A new car sales person, sold an average of $46,975 per day for the first two days she worked. The next one days she worked, she sold an average of $45,765. How much did she sell on average per day over the entire time she worked?

$46,571.67

Step-by-step explanation:

if your description is right and complete, she sold cars on the first 2 days as average for $46975.

and on the third day for $45765

to calculate the total average we need to know the total amount of sales and then divide it by the observation period length (3 days).

how do we get the total sales ?

we know the average of the first 2 days. we don't need to find the exact value for every day, but we know the exact value for these first 2 days : 2×46975 = $93950

as the average of these 2 days = (day1 + day2)/2

46975 = (day1 + day2)/2

day1 + day2 = 2×46975 = 93950

it is not important what two (day) numbers created 93950. we know that this was the total sum of the first two days. and that is enough.

so, we have in total

$93950 on the first 2 days

$45765 in the third day

$139715 for all 3 days

the average per day is then

139715 / 3 = $46,571.67

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