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# Before last night’s game, a basketball player had scored an average (a

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Math Expert
Joined: 02 Sep 2009
Posts: 58335

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11 Oct 2018, 02:45
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Difficulty:

5% (low)

Question Stats:

94% (01:25) correct 6% (01:14) wrong based on 37 sessions

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Before last night’s game, a basketball player had scored an average (arithmetic mean) of 20 points per game. She scored 25 points in last night’s game, raising her average to 21 points per game. How many games did she play before last night’s game?

A. 3

B. 4

C. 5

D. 6

E. 7

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11 Oct 2018, 03:57
Bunuel wrote:
Before last night’s game, a basketball player had scored an average (arithmetic mean) of 20 points per game. She scored 25 points in last night’s game, raising her average to 21 points per game. How many games did she play before last night’s game?

A. 3

B. 4

C. 5

D. 6

E. 7

Old Average = 20
Let, old number of games = x

Total of all x games played = 20x

New Score = 25

New Total = 20x+25

New Average = (20x+25)/(x+1) = 21

i.e. 20x+25 = 21x+21
i.e. x = 4

ALTERNATIVE

Let earlier games = x
New Number of games = x+1 (After last night's game)

New Increase in average = 21-20 = 1
New Increase in total = 5
i.e. (x+1)*1 = 5
i.e. x = 4

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11 Oct 2018, 08:08
Bunuel wrote:
Before last night’s game, a basketball player had scored an average (arithmetic mean) of 20 points per game. She scored 25 points in last night’s game, raising her average to 21 points per game. How many games did she play before last night’s game?

A. 3

B. 4

C. 5

D. 6

E. 7

$$20*x + 25 = 21*(x +1)$$

Or, $$20x + 25 = 21x + 21$$

Or, $$x = 4$$, Thus Answer must be (B)
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Re: Before last night’s game, a basketball player had scored an average (a   [#permalink] 11 Oct 2018, 08:08
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