The average (arithmetic mean) bowling score of n bowlers is 160. The average of these n scores together with a score of 170 is 161. What is the number of bowlers, n?
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total scores for n bowlers = 160n
total scores + 170 = 160n + 170
average of these is (160n + 170) / (n+1)
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no - there is no need to introduce another variable x
check out my post
why? we dont know how much the other bowlers had though...
we know that there are n bowlers and the average of their scores is 160 so the total scores = 160 8 n. We don't know the individual scores of each bowler but we don't need to .
Average = total / n , so total = n * average
* that is 160* n
so we have the equation
160n + 170
---------- = 161
n + 1
- we divide by n+1 because there is 1 more bowler with a score of 170
ouuuuuuuuuu i got it now
160n + 700 = 161n + 161
can you solve for n?