Yasmine works as a server in a restaurant and earns different amounts in tips each night. Her mean earnings in tips over the course of 8 nights of work is $46. Following is a list of her tip earnings, with one missing:

$35.80, $79.60, $38.10, $20.50, $10.45, $96.78, $45.90, _____

What is the value of the missing tip earnings?

1 answer

To find the missing tip earnings, we need to calculate the total earnings Yasmine made over 8 nights of work by adding up the listed values and then subtract this total from the total mean earnings over this period.

Total earnings over 8 nights = $35.80 + $79.60 + $38.10 + $20.50 + $10.45 + $96.78 + $45.90 + x
Total earnings over 8 nights = $327.13 + x

Mean earnings over 8 nights = $46 x 8 = $368
$368 - $327.13 = x
x = $40.87

So, the missing tip earnings is $40.87.