As usual with averages questions, the key is to use the sum. The sum of
the 8 males’ scores is
The sum of the x females’ scores is
The sum of all the scores is the class average (90) times the total number
of people (8 males and x females)
Now set the sum of the male sum and the female sum equal to the class
sum and solve for x:
7 . E
To get the average speed, you need the total distance and the total time.
Whatever you call the distance, it will drop out eventually, so you can call
it whatever you want—a letter, an expression, a number. You might as
well make it something easy to work with. The question stem speaks of
“one-third” and “two-thirds” the distance, so it would be easiest to pick a
total distance like 3d kilometers. (Another good total distance you might