SOLUTION: 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

Algebra ->  Average -> SOLUTION: 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      Log On


   

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
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
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