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# If a golfer scores an average (arithmetic mean) of p points per round

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Math Expert
Joined: 02 Sep 2009
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If a golfer scores an average (arithmetic mean) of p points per round  [#permalink]

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05 Mar 2019, 02:51
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If a golfer scores an average (arithmetic mean) of p points per round of golf for r rounds, and then scores q points in his next round, which of the following is an expression for the golfer’s average score for the (r + 1) rounds of golf?

A. (pr + q)/(r + 1)

B. p(r + q)/(r + 1)

C. p + 2

D. p + 4

E. p + 12

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Re: If a golfer scores an average (arithmetic mean) of p points per round  [#permalink]

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05 Mar 2019, 03:09
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Bunuel wrote:
If a golfer scores an average (arithmetic mean) of p points per round of golf for r rounds, and then scores q points in his next round, which of the following is an expression for the golfer’s average score for the (r + 1) rounds of golf?

A. (pr + q)/(r + 1)

B. p(r + q)/(r + 1)

C. p + 2

D. p + 4

E. p + 12

Total scores in r rounds = pr.

Scores in next round = pr + q

Total rounds = r + 1.

Average : $$\frac{pr + q}{r + 1}$$

A is the correct answer.
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Joined: 23 Feb 2015
Posts: 756
GMAT 1: 720 Q49 V40
Re: If a golfer scores an average (arithmetic mean) of p points per round  [#permalink]

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05 Mar 2019, 05:55
Bunuel wrote:
If a golfer scores an average (arithmetic mean) of p points per round of golf for r rounds, and then scores q points in his next round, which of the following is an expression for the golfer’s average score for the (r + 1) rounds of golf?

A. (pr + q)/(r + 1)

B. p(r + q)/(r + 1)

C. p + 2

D. p + 4

E. p + 12

For C,D,E:
We're ignoring the score (q points) of next round in choice C,D and E. So, they're out.

For B:p(r + q)/(r + 1)
r + q==> rounds+points
We're mistakenly adding points with rounds.

When can we ADD or SUBTRACT things in the real world?
------> ONLY when BOTH have EXACTLY THE SAME UNITS.
So, B is out.
REMEMBER:
NEVER pick an answer choice that's absurd in the real world!

For A:
pr + q=$$\frac{points}{rounds}$$ X rounds+ points
=points ( average score )

So, the correct choice is A.
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Re: If a golfer scores an average (arithmetic mean) of p points per round  [#permalink]

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05 Mar 2019, 11:33
Bunuel wrote:
If a golfer scores an average (arithmetic mean) of p points per round of golf for r rounds, and then scores q points in his next round, which of the following is an expression for the golfer’s average score for the (r + 1) rounds of golf?

A. (pr + q)/(r + 1)

B. p(r + q)/(r + 1)

C. p + 2

D. p + 4

E. p + 12

total score in r rounds = p*r
now in r+1 round score = q
so total
(pr + q)/(r + 1)
IMO A
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Joined: 23 Feb 2015
Posts: 756
GMAT 1: 720 Q49 V40
Re: If a golfer scores an average (arithmetic mean) of p points per round  [#permalink]

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07 Mar 2019, 14:31
Bunuel wrote:
If a golfer scores an average (arithmetic mean) of p points per round of golf for r rounds, and then scores q points in his next round, which of the following is an expression for the golfer’s average score for the (r + 1) rounds of golf?

A. (pr + q)/(r + 1)

B. p(r + q)/(r + 1)

C. p + 2

D. p + 4

E. p + 12

For C,D,E:
We're ignoring the score (q points) of next round in choice C,D and E. So, they're out.

For B:p(r + q)/(r + 1)
r + q==> rounds+points
We're mistakenly adding points with rounds.

When can we ADD or SUBTRACT things in the real world?
------> ONLY when BOTH have EXACTLY THE SAME UNITS.
So, B is out.
REMEMBER:
NEVER pick an answer choice that's absurd in the real world!

For A:
pr + q=$$\frac{points}{rounds}$$ X rounds+ points
=points ( average score )

So, the correct choice is A.

Hi Bunuel, IanStewart,
Have I missed anything in my explanation?
Thanks__
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“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”
― Henry Wadsworth Longfellow

Re: If a golfer scores an average (arithmetic mean) of p points per round   [#permalink] 07 Mar 2019, 14:31
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# If a golfer scores an average (arithmetic mean) of p points per round

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