Question 199153
In her latest game, Ann bowled 199 and raised her average from 177 to 178. To raise her average to 179 with the next game, she must bowl:

a. 179 b. 180 c. 200   d. 201   e. None of these
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Avg = sum of scores/# of games
A = S/n
177 = S/n --> S = 177n
178 = (S+199)/(n+1)
Sub for S
178 = (177n+199)/(n+1)
178*(n+1) = 177n+199
178n+178 = 177n+199
n = 21 (# of games averaged)
S = 22*178 = 3916 (after 22 games)
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The next game will be #23
23*179 = 4117 (23 games times 179 avg)
4117-3916 = 201