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# A basketball team averaged z points per game for q games. If the team

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Math Expert
Joined: 02 Sep 2009
Posts: 58434
A basketball team averaged z points per game for q games. If the team  [#permalink]

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24 Jan 2019, 03:43
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Difficulty:

15% (low)

Question Stats:

89% (00:53) correct 11% (00:35) wrong based on 34 sessions

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A basketball team averaged z points per game for q games. If the team scored 100 points its next game, what was the team’s average in terms of z and q?

A $$\frac{z + 100}{q}$$

B $$\frac{zq + 100}{q + 1}$$

C $$\frac{zq + 100}{q}$$

D $$\frac{zq}{q + 1}$$

E $$\frac{z + 100}{q + 1}$$

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Re: A basketball team averaged z points per game for q games. If the team  [#permalink]

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24 Jan 2019, 04:04
Bunuel wrote:
A basketball team averaged z points per game for q games. If the team scored 100 points its next game, what was the team’s average in terms of z and q?

A $$\frac{z + 100}{q}$$

B $$\frac{zq + 100}{q + 1}$$

C $$\frac{zq + 100}{q}$$

D $$\frac{zq}{q + 1}$$

E $$\frac{z + 100}{q + 1}$$

IMO B

1 game z points
q game zq points

100 points in next game

$$\frac{zq + 100}{q + 1}$$
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A basketball team averaged z points per game for q games. If the team  [#permalink]

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24 Jan 2019, 04:21
Bunuel wrote:
A basketball team averaged z points per game for q games. If the team scored 100 points its next game, what was the team’s average in terms of z and q?

A $$\frac{z + 100}{q}$$

B $$\frac{zq + 100}{q + 1}$$

C $$\frac{zq + 100}{q}$$

D $$\frac{zq}{q + 1}$$

E $$\frac{z + 100}{q + 1}$$

Total points = zq

100 points must be added to zq.

number of games must be q + 1

Average; zq + 100/q +1

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A basketball team averaged z points per game for q games. If the team  [#permalink]

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24 Jan 2019, 04:48
Bunuel wrote:
A basketball team averaged z points per game for q games. If the team scored 100 points its next game, what was the team’s average in terms of z and q?

A $$\frac{z + 100}{q}$$

B $$\frac{zq + 100}{q + 1}$$

C $$\frac{zq + 100}{q}$$

D $$\frac{zq}{q + 1}$$

E $$\frac{z + 100}{q + 1}$$

sum of scores before 100 point game = zq
zq+100/ q+1 ; new avg

IMO B
A basketball team averaged z points per game for q games. If the team   [#permalink] 24 Jan 2019, 04:48
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